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Finding the Fourth Proportional to 2,470.08, 3,406.38 and 1,807.50

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Solution

The fourth proportional to 2,470.08, 3,406.38 and 1,807.50 is: 2,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.08 : 3,406.38 = 1,807.50 : x
  2. Step 2: Convert to fraction form
    2,470.08/3,406.38 = 1,807.50/x
  3. Step 3: Cross multiply
    2,470.08x = 3,406.38 × 1,807.50
  4. Step 4: Simplify right side
    2,470.08x = 6,157,031.85
  5. Step 5: Solve for x
    x = 6,157,031.85/2,470.08
  6. Step 6: Final answer
    x = 2,492.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.