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Finding the Fourth Proportional to 2,165.69, 3,248.88 and 933.45

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Solution

The fourth proportional to 2,165.69, 3,248.88 and 933.45 is: 1,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.69 : 3,248.88 = 933.45 : x
  2. Step 2: Convert to fraction form
    2,165.69/3,248.88 = 933.45/x
  3. Step 3: Cross multiply
    2,165.69x = 3,248.88 × 933.45
  4. Step 4: Simplify right side
    2,165.69x = 3,032,667.04
  5. Step 5: Solve for x
    x = 3,032,667.04/2,165.69
  6. Step 6: Final answer
    x = 1,400.32

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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.