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Finding the Fourth Proportional to 2,295.34, 3,442.40 and 652.00

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Solution

The fourth proportional to 2,295.34, 3,442.40 and 652.00 is: 977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.34 : 3,442.40 = 652.00 : x
  2. Step 2: Convert to fraction form
    2,295.34/3,442.40 = 652.00/x
  3. Step 3: Cross multiply
    2,295.34x = 3,442.40 × 652.00
  4. Step 4: Simplify right side
    2,295.34x = 2,244,441.83
  5. Step 5: Solve for x
    x = 2,244,441.83/2,295.34
  6. Step 6: Final answer
    x = 977.83

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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.