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Finding the Fourth Proportional to 1,616.51, 2,425.68 and 1,345.88

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Solution

The fourth proportional to 1,616.51, 2,425.68 and 1,345.88 is: 2,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.51 : 2,425.68 = 1,345.88 : x
  2. Step 2: Convert to fraction form
    1,616.51/2,425.68 = 1,345.88/x
  3. Step 3: Cross multiply
    1,616.51x = 2,425.68 × 1,345.88
  4. Step 4: Simplify right side
    1,616.51x = 3,264,674.20
  5. Step 5: Solve for x
    x = 3,264,674.20/1,616.51
  6. Step 6: Final answer
    x = 2,019.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.