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Finding the Fourth Proportional to 1,670.71, 2,506.85 and 746.18

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Solution

The fourth proportional to 1,670.71, 2,506.85 and 746.18 is: 1,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.71 : 2,506.85 = 746.18 : x
  2. Step 2: Convert to fraction form
    1,670.71/2,506.85 = 746.18/x
  3. Step 3: Cross multiply
    1,670.71x = 2,506.85 × 746.18
  4. Step 4: Simplify right side
    1,670.71x = 1,870,545.07
  5. Step 5: Solve for x
    x = 1,870,545.07/1,670.71
  6. Step 6: Final answer
    x = 1,119.61

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Why These Related Problems?

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