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Finding the Fourth Proportional to 2,901.84, 4,352.70 and 1,170

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Solution

The fourth proportional to 2,901.84, 4,352.70 and 1,170 is: 1,754.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.84 : 4,352.70 = 1,170 : x
  2. Step 2: Convert to fraction form
    2,901.84/4,352.70 = 1,170/x
  3. Step 3: Cross multiply
    2,901.84x = 4,352.70 × 1,170
  4. Step 4: Simplify right side
    2,901.84x = 5,092,659
  5. Step 5: Solve for x
    x = 5,092,659/2,901.84
  6. Step 6: Final answer
    x = 1,754.98

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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.