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Finding the Fourth Proportional to 1,706.90, 2,356.17 and 1,148.96

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Solution

The fourth proportional to 1,706.90, 2,356.17 and 1,148.96 is: 1,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.90 : 2,356.17 = 1,148.96 : x
  2. Step 2: Convert to fraction form
    1,706.90/2,356.17 = 1,148.96/x
  3. Step 3: Cross multiply
    1,706.90x = 2,356.17 × 1,148.96
  4. Step 4: Simplify right side
    1,706.90x = 2,707,133.30
  5. Step 5: Solve for x
    x = 2,707,133.30/1,706.90
  6. Step 6: Final answer
    x = 1,586.00

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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.