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Finding the Fourth Proportional to 1,723.03, 2,377.91 and 977.12

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Solution

The fourth proportional to 1,723.03, 2,377.91 and 977.12 is: 1,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.03 : 2,377.91 = 977.12 : x
  2. Step 2: Convert to fraction form
    1,723.03/2,377.91 = 977.12/x
  3. Step 3: Cross multiply
    1,723.03x = 2,377.91 × 977.12
  4. Step 4: Simplify right side
    1,723.03x = 2,323,503.42
  5. Step 5: Solve for x
    x = 2,323,503.42/1,723.03
  6. Step 6: Final answer
    x = 1,348.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.