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Finding the Fourth Proportional to 2,823.18, 4,235.49 and 875.40

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Solution

The fourth proportional to 2,823.18, 4,235.49 and 875.40 is: 1,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.18 : 4,235.49 = 875.40 : x
  2. Step 2: Convert to fraction form
    2,823.18/4,235.49 = 875.40/x
  3. Step 3: Cross multiply
    2,823.18x = 4,235.49 × 875.40
  4. Step 4: Simplify right side
    2,823.18x = 3,707,747.95
  5. Step 5: Solve for x
    x = 3,707,747.95/2,823.18
  6. Step 6: Final answer
    x = 1,313.32

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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.