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Finding the Fourth Proportional to 1,435.78, 1,981.01 and 876.19

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Solution

The fourth proportional to 1,435.78, 1,981.01 and 876.19 is: 1,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.78 : 1,981.01 = 876.19 : x
  2. Step 2: Convert to fraction form
    1,435.78/1,981.01 = 876.19/x
  3. Step 3: Cross multiply
    1,435.78x = 1,981.01 × 876.19
  4. Step 4: Simplify right side
    1,435.78x = 1,735,741.15
  5. Step 5: Solve for x
    x = 1,735,741.15/1,435.78
  6. Step 6: Final answer
    x = 1,208.92

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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.