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Finding the Fourth Proportional to 1,873.50, 2,810.23 and 1,462.98

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Solution

The fourth proportional to 1,873.50, 2,810.23 and 1,462.98 is: 2,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.50 : 2,810.23 = 1,462.98 : x
  2. Step 2: Convert to fraction form
    1,873.50/2,810.23 = 1,462.98/x
  3. Step 3: Cross multiply
    1,873.50x = 2,810.23 × 1,462.98
  4. Step 4: Simplify right side
    1,873.50x = 4,111,310.29
  5. Step 5: Solve for x
    x = 4,111,310.29/1,873.50
  6. Step 6: Final answer
    x = 2,194.45

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1.5x scale

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.