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Finding the Fourth Proportional to 1,746.98, 2,620.85 and 577.25

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Solution

The fourth proportional to 1,746.98, 2,620.85 and 577.25 is: 865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.98 : 2,620.85 = 577.25 : x
  2. Step 2: Convert to fraction form
    1,746.98/2,620.85 = 577.25/x
  3. Step 3: Cross multiply
    1,746.98x = 2,620.85 × 577.25
  4. Step 4: Simplify right side
    1,746.98x = 1,512,869.67
  5. Step 5: Solve for x
    x = 1,512,869.67/1,746.98
  6. Step 6: Final answer
    x = 865.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.