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Finding the Fourth Proportional to 1,461.02, 2,013.02 and 1,224.14

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Solution

The fourth proportional to 1,461.02, 2,013.02 and 1,224.14 is: 1,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.02 : 2,013.02 = 1,224.14 : x
  2. Step 2: Convert to fraction form
    1,461.02/2,013.02 = 1,224.14/x
  3. Step 3: Cross multiply
    1,461.02x = 2,013.02 × 1,224.14
  4. Step 4: Simplify right side
    1,461.02x = 2,464,218.30
  5. Step 5: Solve for x
    x = 2,464,218.30/1,461.02
  6. Step 6: Final answer
    x = 1,686.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.