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Finding the Fourth Proportional to 2,393.60, 3,302.80 and 1,345.46

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Solution

The fourth proportional to 2,393.60, 3,302.80 and 1,345.46 is: 1,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.60 : 3,302.80 = 1,345.46 : x
  2. Step 2: Convert to fraction form
    2,393.60/3,302.80 = 1,345.46/x
  3. Step 3: Cross multiply
    2,393.60x = 3,302.80 × 1,345.46
  4. Step 4: Simplify right side
    2,393.60x = 4,443,785.29
  5. Step 5: Solve for x
    x = 4,443,785.29/2,393.60
  6. Step 6: Final answer
    x = 1,856.53

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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.