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Finding the Fourth Proportional to 1,460.89, 2,014.10 and 1,125.17

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Solution

The fourth proportional to 1,460.89, 2,014.10 and 1,125.17 is: 1,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.89 : 2,014.10 = 1,125.17 : x
  2. Step 2: Convert to fraction form
    1,460.89/2,014.10 = 1,125.17/x
  3. Step 3: Cross multiply
    1,460.89x = 2,014.10 × 1,125.17
  4. Step 4: Simplify right side
    1,460.89x = 2,266,204.90
  5. Step 5: Solve for x
    x = 2,266,204.90/1,460.89
  6. Step 6: Final answer
    x = 1,551.25

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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.