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Finding the Fourth Proportional to 2,165.49, 2,988.78 and 1,698.93

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Solution

The fourth proportional to 2,165.49, 2,988.78 and 1,698.93 is: 2,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.49 : 2,988.78 = 1,698.93 : x
  2. Step 2: Convert to fraction form
    2,165.49/2,988.78 = 1,698.93/x
  3. Step 3: Cross multiply
    2,165.49x = 2,988.78 × 1,698.93
  4. Step 4: Simplify right side
    2,165.49x = 5,077,728.01
  5. Step 5: Solve for x
    x = 5,077,728.01/2,165.49
  6. Step 6: Final answer
    x = 2,344.84

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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.