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Finding the Fourth Proportional to 1,770.53, 2,442.63 and 1,140.99

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Solution

The fourth proportional to 1,770.53, 2,442.63 and 1,140.99 is: 1,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.53 : 2,442.63 = 1,140.99 : x
  2. Step 2: Convert to fraction form
    1,770.53/2,442.63 = 1,140.99/x
  3. Step 3: Cross multiply
    1,770.53x = 2,442.63 × 1,140.99
  4. Step 4: Simplify right side
    1,770.53x = 2,787,016.40
  5. Step 5: Solve for x
    x = 2,787,016.40/1,770.53
  6. Step 6: Final answer
    x = 1,574.12

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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.