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Finding the Fourth Proportional to 1,616.55, 2,424.47 and 577.20

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Solution

The fourth proportional to 1,616.55, 2,424.47 and 577.20 is: 865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.55 : 2,424.47 = 577.20 : x
  2. Step 2: Convert to fraction form
    1,616.55/2,424.47 = 577.20/x
  3. Step 3: Cross multiply
    1,616.55x = 2,424.47 × 577.20
  4. Step 4: Simplify right side
    1,616.55x = 1,399,401.20
  5. Step 5: Solve for x
    x = 1,399,401.20/1,616.55
  6. Step 6: Final answer
    x = 865.67

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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.