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Finding the Fourth Proportional to 1,890.42, 2,834.01 and 657.06

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Solution

The fourth proportional to 1,890.42, 2,834.01 and 657.06 is: 985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.42 : 2,834.01 = 657.06 : x
  2. Step 2: Convert to fraction form
    1,890.42/2,834.01 = 657.06/x
  3. Step 3: Cross multiply
    1,890.42x = 2,834.01 × 657.06
  4. Step 4: Simplify right side
    1,890.42x = 1,862,114.61
  5. Step 5: Solve for x
    x = 1,862,114.61/1,890.42
  6. Step 6: Final answer
    x = 985.03

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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.