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Finding the Fourth Proportional to 1,753.71, 2,420.01 and 967.77

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Solution

The fourth proportional to 1,753.71, 2,420.01 and 967.77 is: 1,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.71 : 2,420.01 = 967.77 : x
  2. Step 2: Convert to fraction form
    1,753.71/2,420.01 = 967.77/x
  3. Step 3: Cross multiply
    1,753.71x = 2,420.01 × 967.77
  4. Step 4: Simplify right side
    1,753.71x = 2,342,013.08
  5. Step 5: Solve for x
    x = 2,342,013.08/1,753.71
  6. Step 6: Final answer
    x = 1,335.46

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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.