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Finding the Fourth Proportional to 1,261.49, 1,740.37 and 930.71

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Solution

The fourth proportional to 1,261.49, 1,740.37 and 930.71 is: 1,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.49 : 1,740.37 = 930.71 : x
  2. Step 2: Convert to fraction form
    1,261.49/1,740.37 = 930.71/x
  3. Step 3: Cross multiply
    1,261.49x = 1,740.37 × 930.71
  4. Step 4: Simplify right side
    1,261.49x = 1,619,779.76
  5. Step 5: Solve for x
    x = 1,619,779.76/1,261.49
  6. Step 6: Final answer
    x = 1,284.02

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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.