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Finding the Fourth Proportional to 2,802.35, 4,200.06 and 2,456.35

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Solution

The fourth proportional to 2,802.35, 4,200.06 and 2,456.35 is: 3,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.35 : 4,200.06 = 2,456.35 : x
  2. Step 2: Convert to fraction form
    2,802.35/4,200.06 = 2,456.35/x
  3. Step 3: Cross multiply
    2,802.35x = 4,200.06 × 2,456.35
  4. Step 4: Simplify right side
    2,802.35x = 10,316,817.38
  5. Step 5: Solve for x
    x = 10,316,817.38/2,802.35
  6. Step 6: Final answer
    x = 3,681.49

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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.