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Finding the Fourth Proportional to 2,898.65, 4,348.32 and 923.59

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Solution

The fourth proportional to 2,898.65, 4,348.32 and 923.59 is: 1,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.65 : 4,348.32 = 923.59 : x
  2. Step 2: Convert to fraction form
    2,898.65/4,348.32 = 923.59/x
  3. Step 3: Cross multiply
    2,898.65x = 4,348.32 × 923.59
  4. Step 4: Simplify right side
    2,898.65x = 4,016,054.00
  5. Step 5: Solve for x
    x = 4,016,054.00/2,898.65
  6. Step 6: Final answer
    x = 1,385.49

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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.