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Finding the Fourth Proportional to 2,476, 3,417.12 and 1,544.32

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Solution

The fourth proportional to 2,476, 3,417.12 and 1,544.32 is: 2,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476 : 3,417.12 = 1,544.32 : x
  2. Step 2: Convert to fraction form
    2,476/3,417.12 = 1,544.32/x
  3. Step 3: Cross multiply
    2,476x = 3,417.12 × 1,544.32
  4. Step 4: Simplify right side
    2,476x = 5,277,126.76
  5. Step 5: Solve for x
    x = 5,277,126.76/2,476
  6. Step 6: Final answer
    x = 2,131.31

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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.