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Finding the Fourth Proportional to 1,616.19, 2,409.76 and 1,587.03

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Solution

The fourth proportional to 1,616.19, 2,409.76 and 1,587.03 is: 2,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.19 : 2,409.76 = 1,587.03 : x
  2. Step 2: Convert to fraction form
    1,616.19/2,409.76 = 1,587.03/x
  3. Step 3: Cross multiply
    1,616.19x = 2,409.76 × 1,587.03
  4. Step 4: Simplify right side
    1,616.19x = 3,824,357.45
  5. Step 5: Solve for x
    x = 3,824,357.45/1,616.19
  6. Step 6: Final answer
    x = 2,366.28

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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.