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Finding the Fourth Proportional to 2,995.84, 4,494.76 and 1,534.60

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Solution

The fourth proportional to 2,995.84, 4,494.76 and 1,534.60 is: 2,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.84 : 4,494.76 = 1,534.60 : x
  2. Step 2: Convert to fraction form
    2,995.84/4,494.76 = 1,534.60/x
  3. Step 3: Cross multiply
    2,995.84x = 4,494.76 × 1,534.60
  4. Step 4: Simplify right side
    2,995.84x = 6,897,658.70
  5. Step 5: Solve for x
    x = 6,897,658.70/2,995.84
  6. Step 6: Final answer
    x = 2,302.41

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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.