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Finding the Fourth Proportional to 2,319.71, 3,479.56 and 588.47

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Solution

The fourth proportional to 2,319.71, 3,479.56 and 588.47 is: 882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.71 : 3,479.56 = 588.47 : x
  2. Step 2: Convert to fraction form
    2,319.71/3,479.56 = 588.47/x
  3. Step 3: Cross multiply
    2,319.71x = 3,479.56 × 588.47
  4. Step 4: Simplify right side
    2,319.71x = 2,047,616.67
  5. Step 5: Solve for x
    x = 2,047,616.67/2,319.71
  6. Step 6: Final answer
    x = 882.70

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1.5x scale

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.