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Finding the Fourth Proportional to 1,511.36, 2,085.71 and 987.11

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Solution

The fourth proportional to 1,511.36, 2,085.71 and 987.11 is: 1,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.36 : 2,085.71 = 987.11 : x
  2. Step 2: Convert to fraction form
    1,511.36/2,085.71 = 987.11/x
  3. Step 3: Cross multiply
    1,511.36x = 2,085.71 × 987.11
  4. Step 4: Simplify right side
    1,511.36x = 2,058,809.83
  5. Step 5: Solve for x
    x = 2,058,809.83/1,511.36
  6. Step 6: Final answer
    x = 1,362.23

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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.