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Finding the Fourth Proportional to 2,483.24, 3,724.02 and 2,319.45

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Solution

The fourth proportional to 2,483.24, 3,724.02 and 2,319.45 is: 3,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.24 : 3,724.02 = 2,319.45 : x
  2. Step 2: Convert to fraction form
    2,483.24/3,724.02 = 2,319.45/x
  3. Step 3: Cross multiply
    2,483.24x = 3,724.02 × 2,319.45
  4. Step 4: Simplify right side
    2,483.24x = 8,637,678.19
  5. Step 5: Solve for x
    x = 8,637,678.19/2,483.24
  6. Step 6: Final answer
    x = 3,478.40

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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.