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Finding the Fourth Proportional to 1,569.68, 2,166 and 870.92

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Solution

The fourth proportional to 1,569.68, 2,166 and 870.92 is: 1,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.68 : 2,166 = 870.92 : x
  2. Step 2: Convert to fraction form
    1,569.68/2,166 = 870.92/x
  3. Step 3: Cross multiply
    1,569.68x = 2,166 × 870.92
  4. Step 4: Simplify right side
    1,569.68x = 1,886,412.72
  5. Step 5: Solve for x
    x = 1,886,412.72/1,569.68
  6. Step 6: Final answer
    x = 1,201.78

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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.