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Finding the Fourth Proportional to 2,595.56, 3,893.33 and 647.78

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Solution

The fourth proportional to 2,595.56, 3,893.33 and 647.78 is: 971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.56 : 3,893.33 = 647.78 : x
  2. Step 2: Convert to fraction form
    2,595.56/3,893.33 = 647.78/x
  3. Step 3: Cross multiply
    2,595.56x = 3,893.33 × 647.78
  4. Step 4: Simplify right side
    2,595.56x = 2,522,003.46
  5. Step 5: Solve for x
    x = 2,522,003.46/2,595.56
  6. Step 6: Final answer
    x = 971.66

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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.