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Finding the Fourth Proportional to 2,002.93, 2,758.32 and 1,960

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Solution

The fourth proportional to 2,002.93, 2,758.32 and 1,960 is: 2,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.93 : 2,758.32 = 1,960 : x
  2. Step 2: Convert to fraction form
    2,002.93/2,758.32 = 1,960/x
  3. Step 3: Cross multiply
    2,002.93x = 2,758.32 × 1,960
  4. Step 4: Simplify right side
    2,002.93x = 5,406,307.20
  5. Step 5: Solve for x
    x = 5,406,307.20/2,002.93
  6. Step 6: Final answer
    x = 2,699.20

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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.