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Finding the Fourth Proportional to 2,295.86, 3,442.74 and 652.01

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Solution

The fourth proportional to 2,295.86, 3,442.74 and 652.01 is: 977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.86 : 3,442.74 = 652.01 : x
  2. Step 2: Convert to fraction form
    2,295.86/3,442.74 = 652.01/x
  3. Step 3: Cross multiply
    2,295.86x = 3,442.74 × 652.01
  4. Step 4: Simplify right side
    2,295.86x = 2,244,700.91
  5. Step 5: Solve for x
    x = 2,244,700.91/2,295.86
  6. Step 6: Final answer
    x = 977.72

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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.