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Finding the Fourth Proportional to 1,632.99, 2,253.78 and 970.01

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Solution

The fourth proportional to 1,632.99, 2,253.78 and 970.01 is: 1,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.99 : 2,253.78 = 970.01 : x
  2. Step 2: Convert to fraction form
    1,632.99/2,253.78 = 970.01/x
  3. Step 3: Cross multiply
    1,632.99x = 2,253.78 × 970.01
  4. Step 4: Simplify right side
    1,632.99x = 2,186,189.14
  5. Step 5: Solve for x
    x = 2,186,189.14/1,632.99
  6. Step 6: Final answer
    x = 1,338.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.