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Finding the Fourth Proportional to 2,300.18, 3,442.07 and 2,145.74

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Solution

The fourth proportional to 2,300.18, 3,442.07 and 2,145.74 is: 3,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.18 : 3,442.07 = 2,145.74 : x
  2. Step 2: Convert to fraction form
    2,300.18/3,442.07 = 2,145.74/x
  3. Step 3: Cross multiply
    2,300.18x = 3,442.07 × 2,145.74
  4. Step 4: Simplify right side
    2,300.18x = 7,385,775.44
  5. Step 5: Solve for x
    x = 7,385,775.44/2,300.18
  6. Step 6: Final answer
    x = 3,210.96

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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.