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Finding the Fourth Proportional to 1,403.81, 1,938.17 and 880.76

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Solution

The fourth proportional to 1,403.81, 1,938.17 and 880.76 is: 1,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.81 : 1,938.17 = 880.76 : x
  2. Step 2: Convert to fraction form
    1,403.81/1,938.17 = 880.76/x
  3. Step 3: Cross multiply
    1,403.81x = 1,938.17 × 880.76
  4. Step 4: Simplify right side
    1,403.81x = 1,707,055.12
  5. Step 5: Solve for x
    x = 1,707,055.12/1,403.81
  6. Step 6: Final answer
    x = 1,216.01

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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.