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Finding the Fourth Proportional to 1,702.32, 2,541.04 and 1,577.12

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Solution

The fourth proportional to 1,702.32, 2,541.04 and 1,577.12 is: 2,354.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.32 : 2,541.04 = 1,577.12 : x
  2. Step 2: Convert to fraction form
    1,702.32/2,541.04 = 1,577.12/x
  3. Step 3: Cross multiply
    1,702.32x = 2,541.04 × 1,577.12
  4. Step 4: Simplify right side
    1,702.32x = 4,007,525.00
  5. Step 5: Solve for x
    x = 4,007,525.00/1,702.32
  6. Step 6: Final answer
    x = 2,354.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.