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Finding the Fourth Proportional to 2,586.70, 3,569.65 and 1,407.77

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Solution

The fourth proportional to 2,586.70, 3,569.65 and 1,407.77 is: 1,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.70 : 3,569.65 = 1,407.77 : x
  2. Step 2: Convert to fraction form
    2,586.70/3,569.65 = 1,407.77/x
  3. Step 3: Cross multiply
    2,586.70x = 3,569.65 × 1,407.77
  4. Step 4: Simplify right side
    2,586.70x = 5,025,246.18
  5. Step 5: Solve for x
    x = 5,025,246.18/2,586.70
  6. Step 6: Final answer
    x = 1,942.72

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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.