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Finding the Fourth Proportional to 1,473.03, 2,209.51 and 377.47

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Solution

The fourth proportional to 1,473.03, 2,209.51 and 377.47 is: 566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.03 : 2,209.51 = 377.47 : x
  2. Step 2: Convert to fraction form
    1,473.03/2,209.51 = 377.47/x
  3. Step 3: Cross multiply
    1,473.03x = 2,209.51 × 377.47
  4. Step 4: Simplify right side
    1,473.03x = 834,023.74
  5. Step 5: Solve for x
    x = 834,023.74/1,473.03
  6. Step 6: Final answer
    x = 566.20

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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.