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Finding the Fourth Proportional to 3,129.84, 4,697.80 and 1,670.02

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Solution

The fourth proportional to 3,129.84, 4,697.80 and 1,670.02 is: 2,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.84 : 4,697.80 = 1,670.02 : x
  2. Step 2: Convert to fraction form
    3,129.84/4,697.80 = 1,670.02/x
  3. Step 3: Cross multiply
    3,129.84x = 4,697.80 × 1,670.02
  4. Step 4: Simplify right side
    3,129.84x = 7,845,404.04
  5. Step 5: Solve for x
    x = 7,845,404.04/3,129.84
  6. Step 6: Final answer
    x = 2,506.65

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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.