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Finding the Fourth Proportional to 2,358.43, 3,524.05 and 1,799.93

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Solution

The fourth proportional to 2,358.43, 3,524.05 and 1,799.93 is: 2,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.43 : 3,524.05 = 1,799.93 : x
  2. Step 2: Convert to fraction form
    2,358.43/3,524.05 = 1,799.93/x
  3. Step 3: Cross multiply
    2,358.43x = 3,524.05 × 1,799.93
  4. Step 4: Simplify right side
    2,358.43x = 6,343,043.32
  5. Step 5: Solve for x
    x = 6,343,043.32/2,358.43
  6. Step 6: Final answer
    x = 2,689.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.