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Finding the Fourth Proportional to 2,478.72, 3,421.14 and 1,430.64

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Solution

The fourth proportional to 2,478.72, 3,421.14 and 1,430.64 is: 1,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.72 : 3,421.14 = 1,430.64 : x
  2. Step 2: Convert to fraction form
    2,478.72/3,421.14 = 1,430.64/x
  3. Step 3: Cross multiply
    2,478.72x = 3,421.14 × 1,430.64
  4. Step 4: Simplify right side
    2,478.72x = 4,894,419.73
  5. Step 5: Solve for x
    x = 4,894,419.73/2,478.72
  6. Step 6: Final answer
    x = 1,974.58

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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.