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Finding the Fourth Proportional to 1,823.80, 2,734.50 and 899.96

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Solution

The fourth proportional to 1,823.80, 2,734.50 and 899.96 is: 1,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.80 : 2,734.50 = 899.96 : x
  2. Step 2: Convert to fraction form
    1,823.80/2,734.50 = 899.96/x
  3. Step 3: Cross multiply
    1,823.80x = 2,734.50 × 899.96
  4. Step 4: Simplify right side
    1,823.80x = 2,460,950.83
  5. Step 5: Solve for x
    x = 2,460,950.83/1,823.80
  6. Step 6: Final answer
    x = 1,349.35

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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.