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Finding the Fourth Proportional to 1,573.13, 2,171.10 and 901.00

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Solution

The fourth proportional to 1,573.13, 2,171.10 and 901.00 is: 1,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.13 : 2,171.10 = 901.00 : x
  2. Step 2: Convert to fraction form
    1,573.13/2,171.10 = 901.00/x
  3. Step 3: Cross multiply
    1,573.13x = 2,171.10 × 901.00
  4. Step 4: Simplify right side
    1,573.13x = 1,956,152.29
  5. Step 5: Solve for x
    x = 1,956,152.29/1,573.13
  6. Step 6: Final answer
    x = 1,243.48

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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.