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Finding the Fourth Proportional to 1,566.12, 2,348.48 and 745.39

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Solution

The fourth proportional to 1,566.12, 2,348.48 and 745.39 is: 1,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.12 : 2,348.48 = 745.39 : x
  2. Step 2: Convert to fraction form
    1,566.12/2,348.48 = 745.39/x
  3. Step 3: Cross multiply
    1,566.12x = 2,348.48 × 745.39
  4. Step 4: Simplify right side
    1,566.12x = 1,750,529.78
  5. Step 5: Solve for x
    x = 1,750,529.78/1,566.12
  6. Step 6: Final answer
    x = 1,117.75

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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.