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Finding the Fourth Proportional to 1,280.95, 1,914.32 and 1,031.41

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Solution

The fourth proportional to 1,280.95, 1,914.32 and 1,031.41 is: 1,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.95 : 1,914.32 = 1,031.41 : x
  2. Step 2: Convert to fraction form
    1,280.95/1,914.32 = 1,031.41/x
  3. Step 3: Cross multiply
    1,280.95x = 1,914.32 × 1,031.41
  4. Step 4: Simplify right side
    1,280.95x = 1,974,448.79
  5. Step 5: Solve for x
    x = 1,974,448.79/1,280.95
  6. Step 6: Final answer
    x = 1,541.39

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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.