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Finding the Fourth Proportional to 1,473.54, 2,210.14 and 377.91

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Solution

The fourth proportional to 1,473.54, 2,210.14 and 377.91 is: 566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.54 : 2,210.14 = 377.91 : x
  2. Step 2: Convert to fraction form
    1,473.54/2,210.14 = 377.91/x
  3. Step 3: Cross multiply
    1,473.54x = 2,210.14 × 377.91
  4. Step 4: Simplify right side
    1,473.54x = 835,234.01
  5. Step 5: Solve for x
    x = 835,234.01/1,473.54
  6. Step 6: Final answer
    x = 566.82

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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.