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Finding the Fourth Proportional to 1,672.80, 2,501.91 and 977.82

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Solution

The fourth proportional to 1,672.80, 2,501.91 and 977.82 is: 1,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.80 : 2,501.91 = 977.82 : x
  2. Step 2: Convert to fraction form
    1,672.80/2,501.91 = 977.82/x
  3. Step 3: Cross multiply
    1,672.80x = 2,501.91 × 977.82
  4. Step 4: Simplify right side
    1,672.80x = 2,446,417.64
  5. Step 5: Solve for x
    x = 2,446,417.64/1,672.80
  6. Step 6: Final answer
    x = 1,462.47

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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.