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Finding the Fourth Proportional to 2,726.04, 4,088.34 and 778.35

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Solution

The fourth proportional to 2,726.04, 4,088.34 and 778.35 is: 1,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.04 : 4,088.34 = 778.35 : x
  2. Step 2: Convert to fraction form
    2,726.04/4,088.34 = 778.35/x
  3. Step 3: Cross multiply
    2,726.04x = 4,088.34 × 778.35
  4. Step 4: Simplify right side
    2,726.04x = 3,182,159.44
  5. Step 5: Solve for x
    x = 3,182,159.44/2,726.04
  6. Step 6: Final answer
    x = 1,167.32

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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.