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Finding the Fourth Proportional to 2,308.10, 3,461.29 and 921.02

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Solution

The fourth proportional to 2,308.10, 3,461.29 and 921.02 is: 1,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.10 : 3,461.29 = 921.02 : x
  2. Step 2: Convert to fraction form
    2,308.10/3,461.29 = 921.02/x
  3. Step 3: Cross multiply
    2,308.10x = 3,461.29 × 921.02
  4. Step 4: Simplify right side
    2,308.10x = 3,187,897.71
  5. Step 5: Solve for x
    x = 3,187,897.71/2,308.10
  6. Step 6: Final answer
    x = 1,381.18

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