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Finding the Fourth Proportional to 3,230.66, 4,459 and 2,051.48

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Solution

The fourth proportional to 3,230.66, 4,459 and 2,051.48 is: 2,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.66 : 4,459 = 2,051.48 : x
  2. Step 2: Convert to fraction form
    3,230.66/4,459 = 2,051.48/x
  3. Step 3: Cross multiply
    3,230.66x = 4,459 × 2,051.48
  4. Step 4: Simplify right side
    3,230.66x = 9,147,549.32
  5. Step 5: Solve for x
    x = 9,147,549.32/3,230.66
  6. Step 6: Final answer
    x = 2,831.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.