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Finding the Fourth Proportional to 2,853.54, 4,270.95 and 2,459.88

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Solution

The fourth proportional to 2,853.54, 4,270.95 and 2,459.88 is: 3,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.54 : 4,270.95 = 2,459.88 : x
  2. Step 2: Convert to fraction form
    2,853.54/4,270.95 = 2,459.88/x
  3. Step 3: Cross multiply
    2,853.54x = 4,270.95 × 2,459.88
  4. Step 4: Simplify right side
    2,853.54x = 10,506,024.49
  5. Step 5: Solve for x
    x = 10,506,024.49/2,853.54
  6. Step 6: Final answer
    x = 3,681.75

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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.