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Finding the Fourth Proportional to 1,706.60, 2,354.58 and 1,042.74

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Solution

The fourth proportional to 1,706.60, 2,354.58 and 1,042.74 is: 1,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.60 : 2,354.58 = 1,042.74 : x
  2. Step 2: Convert to fraction form
    1,706.60/2,354.58 = 1,042.74/x
  3. Step 3: Cross multiply
    1,706.60x = 2,354.58 × 1,042.74
  4. Step 4: Simplify right side
    1,706.60x = 2,455,214.75
  5. Step 5: Solve for x
    x = 2,455,214.75/1,706.60
  6. Step 6: Final answer
    x = 1,438.66

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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.