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Finding the Fourth Proportional to 2,443.76, 3,666.12 and 904.88

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Solution

The fourth proportional to 2,443.76, 3,666.12 and 904.88 is: 1,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.76 : 3,666.12 = 904.88 : x
  2. Step 2: Convert to fraction form
    2,443.76/3,666.12 = 904.88/x
  3. Step 3: Cross multiply
    2,443.76x = 3,666.12 × 904.88
  4. Step 4: Simplify right side
    2,443.76x = 3,317,398.67
  5. Step 5: Solve for x
    x = 3,317,398.67/2,443.76
  6. Step 6: Final answer
    x = 1,357.50

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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.