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Finding the Fourth Proportional to 1,491.07, 2,057.94 and 901.66

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Solution

The fourth proportional to 1,491.07, 2,057.94 and 901.66 is: 1,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.07 : 2,057.94 = 901.66 : x
  2. Step 2: Convert to fraction form
    1,491.07/2,057.94 = 901.66/x
  3. Step 3: Cross multiply
    1,491.07x = 2,057.94 × 901.66
  4. Step 4: Simplify right side
    1,491.07x = 1,855,562.18
  5. Step 5: Solve for x
    x = 1,855,562.18/1,491.07
  6. Step 6: Final answer
    x = 1,244.45

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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.