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Finding the Fourth Proportional to 2,875.53, 4,309.91 and 1,643.79

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Solution

The fourth proportional to 2,875.53, 4,309.91 and 1,643.79 is: 2,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.53 : 4,309.91 = 1,643.79 : x
  2. Step 2: Convert to fraction form
    2,875.53/4,309.91 = 1,643.79/x
  3. Step 3: Cross multiply
    2,875.53x = 4,309.91 × 1,643.79
  4. Step 4: Simplify right side
    2,875.53x = 7,084,601.07
  5. Step 5: Solve for x
    x = 7,084,601.07/2,875.53
  6. Step 6: Final answer
    x = 2,463.75

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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.