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Finding the Fourth Proportional to 2,587.34, 3,881.08 and 945.11

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Solution

The fourth proportional to 2,587.34, 3,881.08 and 945.11 is: 1,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.34 : 3,881.08 = 945.11 : x
  2. Step 2: Convert to fraction form
    2,587.34/3,881.08 = 945.11/x
  3. Step 3: Cross multiply
    2,587.34x = 3,881.08 × 945.11
  4. Step 4: Simplify right side
    2,587.34x = 3,668,047.52
  5. Step 5: Solve for x
    x = 3,668,047.52/2,587.34
  6. Step 6: Final answer
    x = 1,417.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.