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Finding the Fourth Proportional to 2,242, 3,366.09 and 1,547.02

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Solution

The fourth proportional to 2,242, 3,366.09 and 1,547.02 is: 2,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242 : 3,366.09 = 1,547.02 : x
  2. Step 2: Convert to fraction form
    2,242/3,366.09 = 1,547.02/x
  3. Step 3: Cross multiply
    2,242x = 3,366.09 × 1,547.02
  4. Step 4: Simplify right side
    2,242x = 5,207,408.55
  5. Step 5: Solve for x
    x = 5,207,408.55/2,242
  6. Step 6: Final answer
    x = 2,322.66

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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.