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Finding the Fourth Proportional to 1,538.01, 2,122.63 and 875.00

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Solution

The fourth proportional to 1,538.01, 2,122.63 and 875.00 is: 1,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.01 : 2,122.63 = 875.00 : x
  2. Step 2: Convert to fraction form
    1,538.01/2,122.63 = 875.00/x
  3. Step 3: Cross multiply
    1,538.01x = 2,122.63 × 875.00
  4. Step 4: Simplify right side
    1,538.01x = 1,857,288.45
  5. Step 5: Solve for x
    x = 1,857,288.45/1,538.01
  6. Step 6: Final answer
    x = 1,207.59

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