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Finding the Fourth Proportional to 1,564.09, 2,158.37 and 901.03

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Solution

The fourth proportional to 1,564.09, 2,158.37 and 901.03 is: 1,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.09 : 2,158.37 = 901.03 : x
  2. Step 2: Convert to fraction form
    1,564.09/2,158.37 = 901.03/x
  3. Step 3: Cross multiply
    1,564.09x = 2,158.37 × 901.03
  4. Step 4: Simplify right side
    1,564.09x = 1,944,756.12
  5. Step 5: Solve for x
    x = 1,944,756.12/1,564.09
  6. Step 6: Final answer
    x = 1,243.38

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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.