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Finding the Fourth Proportional to 2,726.24, 4,089.36 and 877.52

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Solution

The fourth proportional to 2,726.24, 4,089.36 and 877.52 is: 1,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.24 : 4,089.36 = 877.52 : x
  2. Step 2: Convert to fraction form
    2,726.24/4,089.36 = 877.52/x
  3. Step 3: Cross multiply
    2,726.24x = 4,089.36 × 877.52
  4. Step 4: Simplify right side
    2,726.24x = 3,588,495.19
  5. Step 5: Solve for x
    x = 3,588,495.19/2,726.24
  6. Step 6: Final answer
    x = 1,316.28

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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.