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Finding the Fourth Proportional to 1,567.48, 2,352.75 and 746.32

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Solution

The fourth proportional to 1,567.48, 2,352.75 and 746.32 is: 1,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.48 : 2,352.75 = 746.32 : x
  2. Step 2: Convert to fraction form
    1,567.48/2,352.75 = 746.32/x
  3. Step 3: Cross multiply
    1,567.48x = 2,352.75 × 746.32
  4. Step 4: Simplify right side
    1,567.48x = 1,755,904.38
  5. Step 5: Solve for x
    x = 1,755,904.38/1,567.48
  6. Step 6: Final answer
    x = 1,120.21

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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.