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Finding the Fourth Proportional to 2,395.96, 3,595.31 and 934.77

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Solution

The fourth proportional to 2,395.96, 3,595.31 and 934.77 is: 1,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.96 : 3,595.31 = 934.77 : x
  2. Step 2: Convert to fraction form
    2,395.96/3,595.31 = 934.77/x
  3. Step 3: Cross multiply
    2,395.96x = 3,595.31 × 934.77
  4. Step 4: Simplify right side
    2,395.96x = 3,360,783.25
  5. Step 5: Solve for x
    x = 3,360,783.25/2,395.96
  6. Step 6: Final answer
    x = 1,402.69

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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.