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Finding the Fourth Proportional to 2,985.76, 4,470.42 and 2,253.12

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Solution

The fourth proportional to 2,985.76, 4,470.42 and 2,253.12 is: 3,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.76 : 4,470.42 = 2,253.12 : x
  2. Step 2: Convert to fraction form
    2,985.76/4,470.42 = 2,253.12/x
  3. Step 3: Cross multiply
    2,985.76x = 4,470.42 × 2,253.12
  4. Step 4: Simplify right side
    2,985.76x = 10,072,384.40
  5. Step 5: Solve for x
    x = 10,072,384.40/2,985.76
  6. Step 6: Final answer
    x = 3,373.47

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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.