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Finding the Fourth Proportional to 4,654.59, 6,981.93 and 1,367.74

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Solution

The fourth proportional to 4,654.59, 6,981.93 and 1,367.74 is: 2,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.59 : 6,981.93 = 1,367.74 : x
  2. Step 2: Convert to fraction form
    4,654.59/6,981.93 = 1,367.74/x
  3. Step 3: Cross multiply
    4,654.59x = 6,981.93 × 1,367.74
  4. Step 4: Simplify right side
    4,654.59x = 9,549,447.48
  5. Step 5: Solve for x
    x = 9,549,447.48/4,654.59
  6. Step 6: Final answer
    x = 2,051.62

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Why These Related Problems?

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