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Finding the Fourth Proportional to 1,565.49, 2,160.40 and 975.92

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Solution

The fourth proportional to 1,565.49, 2,160.40 and 975.92 is: 1,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.49 : 2,160.40 = 975.92 : x
  2. Step 2: Convert to fraction form
    1,565.49/2,160.40 = 975.92/x
  3. Step 3: Cross multiply
    1,565.49x = 2,160.40 × 975.92
  4. Step 4: Simplify right side
    1,565.49x = 2,108,364.33
  5. Step 5: Solve for x
    x = 2,108,364.33/1,565.49
  6. Step 6: Final answer
    x = 1,346.78

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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.