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Finding the Fourth Proportional to 1,590.26, 2,384.66 and 615.64

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Solution

The fourth proportional to 1,590.26, 2,384.66 and 615.64 is: 923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.26 : 2,384.66 = 615.64 : x
  2. Step 2: Convert to fraction form
    1,590.26/2,384.66 = 615.64/x
  3. Step 3: Cross multiply
    1,590.26x = 2,384.66 × 615.64
  4. Step 4: Simplify right side
    1,590.26x = 1,468,092.08
  5. Step 5: Solve for x
    x = 1,468,092.08/1,590.26
  6. Step 6: Final answer
    x = 923.18

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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.