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Finding the Fourth Proportional to 3,063.68, 4,595.54 and 755.18

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Solution

The fourth proportional to 3,063.68, 4,595.54 and 755.18 is: 1,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.68 : 4,595.54 = 755.18 : x
  2. Step 2: Convert to fraction form
    3,063.68/4,595.54 = 755.18/x
  3. Step 3: Cross multiply
    3,063.68x = 4,595.54 × 755.18
  4. Step 4: Simplify right side
    3,063.68x = 3,470,459.90
  5. Step 5: Solve for x
    x = 3,470,459.90/3,063.68
  6. Step 6: Final answer
    x = 1,132.77

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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.