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Finding the Fourth Proportional to 1,437.79, 2,157.30 and 917.65

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Solution

The fourth proportional to 1,437.79, 2,157.30 and 917.65 is: 1,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.79 : 2,157.30 = 917.65 : x
  2. Step 2: Convert to fraction form
    1,437.79/2,157.30 = 917.65/x
  3. Step 3: Cross multiply
    1,437.79x = 2,157.30 × 917.65
  4. Step 4: Simplify right side
    1,437.79x = 1,979,646.35
  5. Step 5: Solve for x
    x = 1,979,646.35/1,437.79
  6. Step 6: Final answer
    x = 1,376.87

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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.