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Finding the Fourth Proportional to 2,586.81, 3,569.87 and 1,407.96

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Solution

The fourth proportional to 2,586.81, 3,569.87 and 1,407.96 is: 1,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.81 : 3,569.87 = 1,407.96 : x
  2. Step 2: Convert to fraction form
    2,586.81/3,569.87 = 1,407.96/x
  3. Step 3: Cross multiply
    2,586.81x = 3,569.87 × 1,407.96
  4. Step 4: Simplify right side
    2,586.81x = 5,026,227.13
  5. Step 5: Solve for x
    x = 5,026,227.13/2,586.81
  6. Step 6: Final answer
    x = 1,943.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.