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Finding the Fourth Proportional to 1,681.96, 2,320.86 and 935.94

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Solution

The fourth proportional to 1,681.96, 2,320.86 and 935.94 is: 1,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.96 : 2,320.86 = 935.94 : x
  2. Step 2: Convert to fraction form
    1,681.96/2,320.86 = 935.94/x
  3. Step 3: Cross multiply
    1,681.96x = 2,320.86 × 935.94
  4. Step 4: Simplify right side
    1,681.96x = 2,172,185.71
  5. Step 5: Solve for x
    x = 2,172,185.71/1,681.96
  6. Step 6: Final answer
    x = 1,291.46

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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.