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Finding the Fourth Proportional to 1,582.74, 2,373.89 and 486.80

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Solution

The fourth proportional to 1,582.74, 2,373.89 and 486.80 is: 730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.74 : 2,373.89 = 486.80 : x
  2. Step 2: Convert to fraction form
    1,582.74/2,373.89 = 486.80/x
  3. Step 3: Cross multiply
    1,582.74x = 2,373.89 × 486.80
  4. Step 4: Simplify right side
    1,582.74x = 1,155,609.65
  5. Step 5: Solve for x
    x = 1,155,609.65/1,582.74
  6. Step 6: Final answer
    x = 730.13

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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.