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Finding the Fourth Proportional to 2,974.16, 4,461.10 and 753.01

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Solution

The fourth proportional to 2,974.16, 4,461.10 and 753.01 is: 1,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.16 : 4,461.10 = 753.01 : x
  2. Step 2: Convert to fraction form
    2,974.16/4,461.10 = 753.01/x
  3. Step 3: Cross multiply
    2,974.16x = 4,461.10 × 753.01
  4. Step 4: Simplify right side
    2,974.16x = 3,359,239.88
  5. Step 5: Solve for x
    x = 3,359,239.88/2,974.16
  6. Step 6: Final answer
    x = 1,129.47

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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.