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Finding the Fourth Proportional to 2,357.81, 3,254.36 and 1,363.71

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Solution

The fourth proportional to 2,357.81, 3,254.36 and 1,363.71 is: 1,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.81 : 3,254.36 = 1,363.71 : x
  2. Step 2: Convert to fraction form
    2,357.81/3,254.36 = 1,363.71/x
  3. Step 3: Cross multiply
    2,357.81x = 3,254.36 × 1,363.71
  4. Step 4: Simplify right side
    2,357.81x = 4,437,980.19
  5. Step 5: Solve for x
    x = 4,437,980.19/2,357.81
  6. Step 6: Final answer
    x = 1,882.25

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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.