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Finding the Fourth Proportional to 2,637.61, 3,956.54 and 882.76

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Solution

The fourth proportional to 2,637.61, 3,956.54 and 882.76 is: 1,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.61 : 3,956.54 = 882.76 : x
  2. Step 2: Convert to fraction form
    2,637.61/3,956.54 = 882.76/x
  3. Step 3: Cross multiply
    2,637.61x = 3,956.54 × 882.76
  4. Step 4: Simplify right side
    2,637.61x = 3,492,675.25
  5. Step 5: Solve for x
    x = 3,492,675.25/2,637.61
  6. Step 6: Final answer
    x = 1,324.18

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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.