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Finding the Fourth Proportional to 1,476.18, 2,214.18 and 745.20

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Solution

The fourth proportional to 1,476.18, 2,214.18 and 745.20 is: 1,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.18 : 2,214.18 = 745.20 : x
  2. Step 2: Convert to fraction form
    1,476.18/2,214.18 = 745.20/x
  3. Step 3: Cross multiply
    1,476.18x = 2,214.18 × 745.20
  4. Step 4: Simplify right side
    1,476.18x = 1,650,006.94
  5. Step 5: Solve for x
    x = 1,650,006.94/1,476.18
  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.