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Finding the Fourth Proportional to 2,475.52, 3,416.12 and 1,356.52

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Solution

The fourth proportional to 2,475.52, 3,416.12 and 1,356.52 is: 1,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.52 : 3,416.12 = 1,356.52 : x
  2. Step 2: Convert to fraction form
    2,475.52/3,416.12 = 1,356.52/x
  3. Step 3: Cross multiply
    2,475.52x = 3,416.12 × 1,356.52
  4. Step 4: Simplify right side
    2,475.52x = 4,634,035.10
  5. Step 5: Solve for x
    x = 4,634,035.10/2,475.52
  6. Step 6: Final answer
    x = 1,871.94

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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.