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Finding the Fourth Proportional to 1,706.17, 2,564.13 and 1,590.61

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Solution

The fourth proportional to 1,706.17, 2,564.13 and 1,590.61 is: 2,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.17 : 2,564.13 = 1,590.61 : x
  2. Step 2: Convert to fraction form
    1,706.17/2,564.13 = 1,590.61/x
  3. Step 3: Cross multiply
    1,706.17x = 2,564.13 × 1,590.61
  4. Step 4: Simplify right side
    1,706.17x = 4,078,530.82
  5. Step 5: Solve for x
    x = 4,078,530.82/1,706.17
  6. Step 6: Final answer
    x = 2,390.46

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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.