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Finding the Fourth Proportional to 1,171.10, 1,748.34 and 1,041.50

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Solution

The fourth proportional to 1,171.10, 1,748.34 and 1,041.50 is: 1,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.10 : 1,748.34 = 1,041.50 : x
  2. Step 2: Convert to fraction form
    1,171.10/1,748.34 = 1,041.50/x
  3. Step 3: Cross multiply
    1,171.10x = 1,748.34 × 1,041.50
  4. Step 4: Simplify right side
    1,171.10x = 1,820,896.11
  5. Step 5: Solve for x
    x = 1,820,896.11/1,171.10
  6. Step 6: Final answer
    x = 1,554.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.