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Finding the Fourth Proportional to 1,723.61, 2,378.89 and 977.42

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Solution

The fourth proportional to 1,723.61, 2,378.89 and 977.42 is: 1,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.61 : 2,378.89 = 977.42 : x
  2. Step 2: Convert to fraction form
    1,723.61/2,378.89 = 977.42/x
  3. Step 3: Cross multiply
    1,723.61x = 2,378.89 × 977.42
  4. Step 4: Simplify right side
    1,723.61x = 2,325,176.33
  5. Step 5: Solve for x
    x = 2,325,176.33/1,723.61
  6. Step 6: Final answer
    x = 1,349.01

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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.