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Finding the Fourth Proportional to 2,253.47, 3,106.07 and 1,507.16

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Solution

The fourth proportional to 2,253.47, 3,106.07 and 1,507.16 is: 2,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.47 : 3,106.07 = 1,507.16 : x
  2. Step 2: Convert to fraction form
    2,253.47/3,106.07 = 1,507.16/x
  3. Step 3: Cross multiply
    2,253.47x = 3,106.07 × 1,507.16
  4. Step 4: Simplify right side
    2,253.47x = 4,681,337.11
  5. Step 5: Solve for x
    x = 4,681,337.11/2,253.47
  6. Step 6: Final answer
    x = 2,077.39

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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.