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Finding the Fourth Proportional to 2,259.59, 3,389.58 and 616.14

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Solution

The fourth proportional to 2,259.59, 3,389.58 and 616.14 is: 924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.59 : 3,389.58 = 616.14 : x
  2. Step 2: Convert to fraction form
    2,259.59/3,389.58 = 616.14/x
  3. Step 3: Cross multiply
    2,259.59x = 3,389.58 × 616.14
  4. Step 4: Simplify right side
    2,259.59x = 2,088,455.82
  5. Step 5: Solve for x
    x = 2,088,455.82/2,259.59
  6. Step 6: Final answer
    x = 924.27

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Why These Related Problems?

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