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Finding the Fourth Proportional to 1,659.57, 2,484.09 and 926.93

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Solution

The fourth proportional to 1,659.57, 2,484.09 and 926.93 is: 1,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.57 : 2,484.09 = 926.93 : x
  2. Step 2: Convert to fraction form
    1,659.57/2,484.09 = 926.93/x
  3. Step 3: Cross multiply
    1,659.57x = 2,484.09 × 926.93
  4. Step 4: Simplify right side
    1,659.57x = 2,302,565.12
  5. Step 5: Solve for x
    x = 2,302,565.12/1,659.57
  6. Step 6: Final answer
    x = 1,387.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.