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Finding the Fourth Proportional to 2,967.59, 4,095.71 and 1,849.74

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Solution

The fourth proportional to 2,967.59, 4,095.71 and 1,849.74 is: 2,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.59 : 4,095.71 = 1,849.74 : x
  2. Step 2: Convert to fraction form
    2,967.59/4,095.71 = 1,849.74/x
  3. Step 3: Cross multiply
    2,967.59x = 4,095.71 × 1,849.74
  4. Step 4: Simplify right side
    2,967.59x = 7,575,991.35
  5. Step 5: Solve for x
    x = 7,575,991.35/2,967.59
  6. Step 6: Final answer
    x = 2,552.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.