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Finding the Fourth Proportional to 2,397.77, 3,596.80 and 1,009.72

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Solution

The fourth proportional to 2,397.77, 3,596.80 and 1,009.72 is: 1,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.77 : 3,596.80 = 1,009.72 : x
  2. Step 2: Convert to fraction form
    2,397.77/3,596.80 = 1,009.72/x
  3. Step 3: Cross multiply
    2,397.77x = 3,596.80 × 1,009.72
  4. Step 4: Simplify right side
    2,397.77x = 3,631,760.90
  5. Step 5: Solve for x
    x = 3,631,760.90/2,397.77
  6. Step 6: Final answer
    x = 1,514.64

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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.