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Finding the Fourth Proportional to 2,822.66, 4,233.08 and 973.74

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Solution

The fourth proportional to 2,822.66, 4,233.08 and 973.74 is: 1,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.66 : 4,233.08 = 973.74 : x
  2. Step 2: Convert to fraction form
    2,822.66/4,233.08 = 973.74/x
  3. Step 3: Cross multiply
    2,822.66x = 4,233.08 × 973.74
  4. Step 4: Simplify right side
    2,822.66x = 4,121,919.32
  5. Step 5: Solve for x
    x = 4,121,919.32/2,822.66
  6. Step 6: Final answer
    x = 1,460.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.