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Finding the Fourth Proportional to 2,298.78, 3,165.68 and 2,178.50

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Solution

The fourth proportional to 2,298.78, 3,165.68 and 2,178.50 is: 3,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.78 : 3,165.68 = 2,178.50 : x
  2. Step 2: Convert to fraction form
    2,298.78/3,165.68 = 2,178.50/x
  3. Step 3: Cross multiply
    2,298.78x = 3,165.68 × 2,178.50
  4. Step 4: Simplify right side
    2,298.78x = 6,896,423.50
  5. Step 5: Solve for x
    x = 6,896,423.50/2,298.78
  6. Step 6: Final answer
    x = 3,000.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.