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Finding the Fourth Proportional to 1,567.74, 2,360.78 and 1,159.75

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Solution

The fourth proportional to 1,567.74, 2,360.78 and 1,159.75 is: 1,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.74 : 2,360.78 = 1,159.75 : x
  2. Step 2: Convert to fraction form
    1,567.74/2,360.78 = 1,159.75/x
  3. Step 3: Cross multiply
    1,567.74x = 2,360.78 × 1,159.75
  4. Step 4: Simplify right side
    1,567.74x = 2,737,916.11
  5. Step 5: Solve for x
    x = 2,737,916.11/1,567.74
  6. Step 6: Final answer
    x = 1,746.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.