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Finding the Fourth Proportional to 2,586.76, 3,569.68 and 1,407.81

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Solution

The fourth proportional to 2,586.76, 3,569.68 and 1,407.81 is: 1,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.76 : 3,569.68 = 1,407.81 : x
  2. Step 2: Convert to fraction form
    2,586.76/3,569.68 = 1,407.81/x
  3. Step 3: Cross multiply
    2,586.76x = 3,569.68 × 1,407.81
  4. Step 4: Simplify right side
    2,586.76x = 5,025,431.20
  5. Step 5: Solve for x
    x = 5,025,431.20/2,586.76
  6. Step 6: Final answer
    x = 1,942.75

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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.