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Finding the Fourth Proportional to 2,567.74, 3,543.48 and 1,388.81

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Solution

The fourth proportional to 2,567.74, 3,543.48 and 1,388.81 is: 1,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.74 : 3,543.48 = 1,388.81 : x
  2. Step 2: Convert to fraction form
    2,567.74/3,543.48 = 1,388.81/x
  3. Step 3: Cross multiply
    2,567.74x = 3,543.48 × 1,388.81
  4. Step 4: Simplify right side
    2,567.74x = 4,921,210.82
  5. Step 5: Solve for x
    x = 4,921,210.82/2,567.74
  6. Step 6: Final answer
    x = 1,916.55

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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.