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Finding the Fourth Proportional to 1,569.94, 2,166.33 and 931.78

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Solution

The fourth proportional to 1,569.94, 2,166.33 and 931.78 is: 1,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.94 : 2,166.33 = 931.78 : x
  2. Step 2: Convert to fraction form
    1,569.94/2,166.33 = 931.78/x
  3. Step 3: Cross multiply
    1,569.94x = 2,166.33 × 931.78
  4. Step 4: Simplify right side
    1,569.94x = 2,018,527.48
  5. Step 5: Solve for x
    x = 2,018,527.48/1,569.94
  6. Step 6: Final answer
    x = 1,285.74

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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.