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Finding the Fourth Proportional to 1,590.67, 2,386.14 and 617.59

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Solution

The fourth proportional to 1,590.67, 2,386.14 and 617.59 is: 926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.67 : 2,386.14 = 617.59 : x
  2. Step 2: Convert to fraction form
    1,590.67/2,386.14 = 617.59/x
  3. Step 3: Cross multiply
    1,590.67x = 2,386.14 × 617.59
  4. Step 4: Simplify right side
    1,590.67x = 1,473,656.20
  5. Step 5: Solve for x
    x = 1,473,656.20/1,590.67
  6. Step 6: Final answer
    x = 926.44

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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.