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Finding the Fourth Proportional to 1,950.96, 2,927.01 and 653.34

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Solution

The fourth proportional to 1,950.96, 2,927.01 and 653.34 is: 980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.96 : 2,927.01 = 653.34 : x
  2. Step 2: Convert to fraction form
    1,950.96/2,927.01 = 653.34/x
  3. Step 3: Cross multiply
    1,950.96x = 2,927.01 × 653.34
  4. Step 4: Simplify right side
    1,950.96x = 1,912,332.71
  5. Step 5: Solve for x
    x = 1,912,332.71/1,950.96
  6. Step 6: Final answer
    x = 980.20

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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.