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Finding the Fourth Proportional to 2,165.60, 2,988.64 and 1,234.08

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Solution

The fourth proportional to 2,165.60, 2,988.64 and 1,234.08 is: 1,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.60 : 2,988.64 = 1,234.08 : x
  2. Step 2: Convert to fraction form
    2,165.60/2,988.64 = 1,234.08/x
  3. Step 3: Cross multiply
    2,165.60x = 2,988.64 × 1,234.08
  4. Step 4: Simplify right side
    2,165.60x = 3,688,220.85
  5. Step 5: Solve for x
    x = 3,688,220.85/2,165.60
  6. Step 6: Final answer
    x = 1,703.09

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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.