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Finding the Fourth Proportional to 1,259.95, 1,880.40 and 1,227.14

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Solution

The fourth proportional to 1,259.95, 1,880.40 and 1,227.14 is: 1,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.95 : 1,880.40 = 1,227.14 : x
  2. Step 2: Convert to fraction form
    1,259.95/1,880.40 = 1,227.14/x
  3. Step 3: Cross multiply
    1,259.95x = 1,880.40 × 1,227.14
  4. Step 4: Simplify right side
    1,259.95x = 2,307,516.07
  5. Step 5: Solve for x
    x = 2,307,516.07/1,259.95
  6. Step 6: Final answer
    x = 1,831.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.