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Finding the Fourth Proportional to 1,708.91, 2,358.54 and 1,045.65

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Solution

The fourth proportional to 1,708.91, 2,358.54 and 1,045.65 is: 1,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.91 : 2,358.54 = 1,045.65 : x
  2. Step 2: Convert to fraction form
    1,708.91/2,358.54 = 1,045.65/x
  3. Step 3: Cross multiply
    1,708.91x = 2,358.54 × 1,045.65
  4. Step 4: Simplify right side
    1,708.91x = 2,466,207.35
  5. Step 5: Solve for x
    x = 2,466,207.35/1,708.91
  6. Step 6: Final answer
    x = 1,443.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.