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Finding the Fourth Proportional to 2,587.34, 3,881.10 and 943.58

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Solution

The fourth proportional to 2,587.34, 3,881.10 and 943.58 is: 1,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.34 : 3,881.10 = 943.58 : x
  2. Step 2: Convert to fraction form
    2,587.34/3,881.10 = 943.58/x
  3. Step 3: Cross multiply
    2,587.34x = 3,881.10 × 943.58
  4. Step 4: Simplify right side
    2,587.34x = 3,662,128.34
  5. Step 5: Solve for x
    x = 3,662,128.34/2,587.34
  6. Step 6: Final answer
    x = 1,415.40

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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.