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Finding the Fourth Proportional to 1,723.00, 2,377.68 and 977.02

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Solution

The fourth proportional to 1,723.00, 2,377.68 and 977.02 is: 1,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.00 : 2,377.68 = 977.02 : x
  2. Step 2: Convert to fraction form
    1,723.00/2,377.68 = 977.02/x
  3. Step 3: Cross multiply
    1,723.00x = 2,377.68 × 977.02
  4. Step 4: Simplify right side
    1,723.00x = 2,323,040.91
  5. Step 5: Solve for x
    x = 2,323,040.91/1,723.00
  6. Step 6: Final answer
    x = 1,348.26

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