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Finding the Fourth Proportional to 1,825.12, 2,516.02 and 1,264.74

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Solution

The fourth proportional to 1,825.12, 2,516.02 and 1,264.74 is: 1,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.12 : 2,516.02 = 1,264.74 : x
  2. Step 2: Convert to fraction form
    1,825.12/2,516.02 = 1,264.74/x
  3. Step 3: Cross multiply
    1,825.12x = 2,516.02 × 1,264.74
  4. Step 4: Simplify right side
    1,825.12x = 3,182,111.13
  5. Step 5: Solve for x
    x = 3,182,111.13/1,825.12
  6. Step 6: Final answer
    x = 1,743.51

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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.