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Finding the Fourth Proportional to 2,357.53, 3,254.19 and 1,363.21

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Solution

The fourth proportional to 2,357.53, 3,254.19 and 1,363.21 is: 1,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.53 : 3,254.19 = 1,363.21 : x
  2. Step 2: Convert to fraction form
    2,357.53/3,254.19 = 1,363.21/x
  3. Step 3: Cross multiply
    2,357.53x = 3,254.19 × 1,363.21
  4. Step 4: Simplify right side
    2,357.53x = 4,436,144.35
  5. Step 5: Solve for x
    x = 4,436,144.35/2,357.53
  6. Step 6: Final answer
    x = 1,881.69

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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.