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Finding the Fourth Proportional to 1,534.74, 2,115.53 and 1,407.62

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Solution

The fourth proportional to 1,534.74, 2,115.53 and 1,407.62 is: 1,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.74 : 2,115.53 = 1,407.62 : x
  2. Step 2: Convert to fraction form
    1,534.74/2,115.53 = 1,407.62/x
  3. Step 3: Cross multiply
    1,534.74x = 2,115.53 × 1,407.62
  4. Step 4: Simplify right side
    1,534.74x = 2,977,862.34
  5. Step 5: Solve for x
    x = 2,977,862.34/1,534.74
  6. Step 6: Final answer
    x = 1,940.30

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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.