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Finding the Fourth Proportional to 2,768.60, 4,152.93 and 1,543.79

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Solution

The fourth proportional to 2,768.60, 4,152.93 and 1,543.79 is: 2,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.60 : 4,152.93 = 1,543.79 : x
  2. Step 2: Convert to fraction form
    2,768.60/4,152.93 = 1,543.79/x
  3. Step 3: Cross multiply
    2,768.60x = 4,152.93 × 1,543.79
  4. Step 4: Simplify right side
    2,768.60x = 6,411,231.04
  5. Step 5: Solve for x
    x = 6,411,231.04/2,768.60
  6. Step 6: Final answer
    x = 2,315.70

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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.