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Finding the Fourth Proportional to 1,569.57, 2,166.09 and 870.93

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Solution

The fourth proportional to 1,569.57, 2,166.09 and 870.93 is: 1,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.57 : 2,166.09 = 870.93 : x
  2. Step 2: Convert to fraction form
    1,569.57/2,166.09 = 870.93/x
  3. Step 3: Cross multiply
    1,569.57x = 2,166.09 × 870.93
  4. Step 4: Simplify right side
    1,569.57x = 1,886,512.76
  5. Step 5: Solve for x
    x = 1,886,512.76/1,569.57
  6. Step 6: Final answer
    x = 1,201.93

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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.