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Finding the Fourth Proportional to 1,540.16, 2,124.96 and 910.52

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Solution

The fourth proportional to 1,540.16, 2,124.96 and 910.52 is: 1,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.16 : 2,124.96 = 910.52 : x
  2. Step 2: Convert to fraction form
    1,540.16/2,124.96 = 910.52/x
  3. Step 3: Cross multiply
    1,540.16x = 2,124.96 × 910.52
  4. Step 4: Simplify right side
    1,540.16x = 1,934,818.58
  5. Step 5: Solve for x
    x = 1,934,818.58/1,540.16
  6. Step 6: Final answer
    x = 1,256.25

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