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Finding the Fourth Proportional to 2,224.86, 3,070.25 and 1,587.96

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Solution

The fourth proportional to 2,224.86, 3,070.25 and 1,587.96 is: 2,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.86 : 3,070.25 = 1,587.96 : x
  2. Step 2: Convert to fraction form
    2,224.86/3,070.25 = 1,587.96/x
  3. Step 3: Cross multiply
    2,224.86x = 3,070.25 × 1,587.96
  4. Step 4: Simplify right side
    2,224.86x = 4,875,434.19
  5. Step 5: Solve for x
    x = 4,875,434.19/2,224.86
  6. Step 6: Final answer
    x = 2,191.34

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Why These Related Problems?

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