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Finding the Fourth Proportional to 3,297.42, 4,969.07 and 2,985.17

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Solution

The fourth proportional to 3,297.42, 4,969.07 and 2,985.17 is: 4,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.42 : 4,969.07 = 2,985.17 : x
  2. Step 2: Convert to fraction form
    3,297.42/4,969.07 = 2,985.17/x
  3. Step 3: Cross multiply
    3,297.42x = 4,969.07 × 2,985.17
  4. Step 4: Simplify right side
    3,297.42x = 14,833,518.69
  5. Step 5: Solve for x
    x = 14,833,518.69/3,297.42
  6. Step 6: Final answer
    x = 4,498.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.