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Finding the Fourth Proportional to 2,259.65, 3,389.08 and 615.98

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Solution

The fourth proportional to 2,259.65, 3,389.08 and 615.98 is: 923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.65 : 3,389.08 = 615.98 : x
  2. Step 2: Convert to fraction form
    2,259.65/3,389.08 = 615.98/x
  3. Step 3: Cross multiply
    2,259.65x = 3,389.08 × 615.98
  4. Step 4: Simplify right side
    2,259.65x = 2,087,605.50
  5. Step 5: Solve for x
    x = 2,087,605.50/2,259.65
  6. Step 6: Final answer
    x = 923.86

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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.