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Finding the Fourth Proportional to 2,400.63, 3,602.36 and 1,013.87

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Solution

The fourth proportional to 2,400.63, 3,602.36 and 1,013.87 is: 1,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.63 : 3,602.36 = 1,013.87 : x
  2. Step 2: Convert to fraction form
    2,400.63/3,602.36 = 1,013.87/x
  3. Step 3: Cross multiply
    2,400.63x = 3,602.36 × 1,013.87
  4. Step 4: Simplify right side
    2,400.63x = 3,652,319.66
  5. Step 5: Solve for x
    x = 3,652,319.66/2,400.63
  6. Step 6: Final answer
    x = 1,521.40

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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.