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Finding the Fourth Proportional to 4,655.16, 6,982.62 and 1,881.76

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Solution

The fourth proportional to 4,655.16, 6,982.62 and 1,881.76 is: 2,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.16 : 6,982.62 = 1,881.76 : x
  2. Step 2: Convert to fraction form
    4,655.16/6,982.62 = 1,881.76/x
  3. Step 3: Cross multiply
    4,655.16x = 6,982.62 × 1,881.76
  4. Step 4: Simplify right side
    4,655.16x = 13,139,615.01
  5. Step 5: Solve for x
    x = 13,139,615.01/4,655.16
  6. Step 6: Final answer
    x = 2,822.59

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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.