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Finding the Fourth Proportional to 2,358.38, 3,254.04 and 1,363.64

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Solution

The fourth proportional to 2,358.38, 3,254.04 and 1,363.64 is: 1,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.38 : 3,254.04 = 1,363.64 : x
  2. Step 2: Convert to fraction form
    2,358.38/3,254.04 = 1,363.64/x
  3. Step 3: Cross multiply
    2,358.38x = 3,254.04 × 1,363.64
  4. Step 4: Simplify right side
    2,358.38x = 4,437,322.84
  5. Step 5: Solve for x
    x = 4,437,322.84/2,358.38
  6. Step 6: Final answer
    x = 1,881.51

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1.5x scale

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.