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Finding the Fourth Proportional to 2,365.84, 3,550.47 and 1,587.34

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Solution

The fourth proportional to 2,365.84, 3,550.47 and 1,587.34 is: 2,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.84 : 3,550.47 = 1,587.34 : x
  2. Step 2: Convert to fraction form
    2,365.84/3,550.47 = 1,587.34/x
  3. Step 3: Cross multiply
    2,365.84x = 3,550.47 × 1,587.34
  4. Step 4: Simplify right side
    2,365.84x = 5,635,803.05
  5. Step 5: Solve for x
    x = 5,635,803.05/2,365.84
  6. Step 6: Final answer
    x = 2,382.16

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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.