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Finding the Fourth Proportional to 2,358.45, 3,534.62 and 1,478.88

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Solution

The fourth proportional to 2,358.45, 3,534.62 and 1,478.88 is: 2,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.45 : 3,534.62 = 1,478.88 : x
  2. Step 2: Convert to fraction form
    2,358.45/3,534.62 = 1,478.88/x
  3. Step 3: Cross multiply
    2,358.45x = 3,534.62 × 1,478.88
  4. Step 4: Simplify right side
    2,358.45x = 5,227,271.43
  5. Step 5: Solve for x
    x = 5,227,271.43/2,358.45
  6. Step 6: Final answer
    x = 2,216.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.