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Finding the Fourth Proportional to 2,595.69, 3,895.29 and 953.55

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Solution

The fourth proportional to 2,595.69, 3,895.29 and 953.55 is: 1,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.69 : 3,895.29 = 953.55 : x
  2. Step 2: Convert to fraction form
    2,595.69/3,895.29 = 953.55/x
  3. Step 3: Cross multiply
    2,595.69x = 3,895.29 × 953.55
  4. Step 4: Simplify right side
    2,595.69x = 3,714,353.78
  5. Step 5: Solve for x
    x = 3,714,353.78/2,595.69
  6. Step 6: Final answer
    x = 1,430.97

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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.