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Finding the Fourth Proportional to 1,769.94, 2,442.59 and 983.98

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Solution

The fourth proportional to 1,769.94, 2,442.59 and 983.98 is: 1,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.94 : 2,442.59 = 983.98 : x
  2. Step 2: Convert to fraction form
    1,769.94/2,442.59 = 983.98/x
  3. Step 3: Cross multiply
    1,769.94x = 2,442.59 × 983.98
  4. Step 4: Simplify right side
    1,769.94x = 2,403,459.71
  5. Step 5: Solve for x
    x = 2,403,459.71/1,769.94
  6. Step 6: Final answer
    x = 1,357.93

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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.