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Finding the Fourth Proportional to 2,465.84, 3,681.10 and 2,285.84

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Solution

The fourth proportional to 2,465.84, 3,681.10 and 2,285.84 is: 3,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.84 : 3,681.10 = 2,285.84 : x
  2. Step 2: Convert to fraction form
    2,465.84/3,681.10 = 2,285.84/x
  3. Step 3: Cross multiply
    2,465.84x = 3,681.10 × 2,285.84
  4. Step 4: Simplify right side
    2,465.84x = 8,414,405.62
  5. Step 5: Solve for x
    x = 8,414,405.62/2,465.84
  6. Step 6: Final answer
    x = 3,412.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.