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Finding the Fourth Proportional to 4,655.88, 6,981.39 and 1,732.59

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Solution

The fourth proportional to 4,655.88, 6,981.39 and 1,732.59 is: 2,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.88 : 6,981.39 = 1,732.59 : x
  2. Step 2: Convert to fraction form
    4,655.88/6,981.39 = 1,732.59/x
  3. Step 3: Cross multiply
    4,655.88x = 6,981.39 × 1,732.59
  4. Step 4: Simplify right side
    4,655.88x = 12,095,886.50
  5. Step 5: Solve for x
    x = 12,095,886.50/4,655.88
  6. Step 6: Final answer
    x = 2,597.98

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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.