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Finding the Fourth Proportional to 1,575.19, 2,362.83 and 753.85

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Solution

The fourth proportional to 1,575.19, 2,362.83 and 753.85 is: 1,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.19 : 2,362.83 = 753.85 : x
  2. Step 2: Convert to fraction form
    1,575.19/2,362.83 = 753.85/x
  3. Step 3: Cross multiply
    1,575.19x = 2,362.83 × 753.85
  4. Step 4: Simplify right side
    1,575.19x = 1,781,219.40
  5. Step 5: Solve for x
    x = 1,781,219.40/1,575.19
  6. Step 6: Final answer
    x = 1,130.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.