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Finding the Fourth Proportional to 2,587.68, 3,571.56 and 1,805.40

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Solution

The fourth proportional to 2,587.68, 3,571.56 and 1,805.40 is: 2,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.68 : 3,571.56 = 1,805.40 : x
  2. Step 2: Convert to fraction form
    2,587.68/3,571.56 = 1,805.40/x
  3. Step 3: Cross multiply
    2,587.68x = 3,571.56 × 1,805.40
  4. Step 4: Simplify right side
    2,587.68x = 6,448,094.42
  5. Step 5: Solve for x
    x = 6,448,094.42/2,587.68
  6. Step 6: Final answer
    x = 2,491.84

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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.