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Finding the Fourth Proportional to 2,560.74, 3,533.50 and 1,616.16

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Solution

The fourth proportional to 2,560.74, 3,533.50 and 1,616.16 is: 2,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.74 : 3,533.50 = 1,616.16 : x
  2. Step 2: Convert to fraction form
    2,560.74/3,533.50 = 1,616.16/x
  3. Step 3: Cross multiply
    2,560.74x = 3,533.50 × 1,616.16
  4. Step 4: Simplify right side
    2,560.74x = 5,710,701.36
  5. Step 5: Solve for x
    x = 5,710,701.36/2,560.74
  6. Step 6: Final answer
    x = 2,230.10

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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.