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Finding the Fourth Proportional to 2,307.96, 3,463.16 and 1,009.13

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Solution

The fourth proportional to 2,307.96, 3,463.16 and 1,009.13 is: 1,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.96 : 3,463.16 = 1,009.13 : x
  2. Step 2: Convert to fraction form
    2,307.96/3,463.16 = 1,009.13/x
  3. Step 3: Cross multiply
    2,307.96x = 3,463.16 × 1,009.13
  4. Step 4: Simplify right side
    2,307.96x = 3,494,756.29
  5. Step 5: Solve for x
    x = 3,494,756.29/2,307.96
  6. Step 6: Final answer
    x = 1,514.22

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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.