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Finding the Fourth Proportional to 1,659.27, 2,290.86 and 1,030.46

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Solution

The fourth proportional to 1,659.27, 2,290.86 and 1,030.46 is: 1,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.27 : 2,290.86 = 1,030.46 : x
  2. Step 2: Convert to fraction form
    1,659.27/2,290.86 = 1,030.46/x
  3. Step 3: Cross multiply
    1,659.27x = 2,290.86 × 1,030.46
  4. Step 4: Simplify right side
    1,659.27x = 2,360,639.60
  5. Step 5: Solve for x
    x = 2,360,639.60/1,659.27
  6. Step 6: Final answer
    x = 1,422.70

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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.