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Finding the Fourth Proportional to 1,538.36, 2,122.46 and 875.16

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Solution

The fourth proportional to 1,538.36, 2,122.46 and 875.16 is: 1,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.36 : 2,122.46 = 875.16 : x
  2. Step 2: Convert to fraction form
    1,538.36/2,122.46 = 875.16/x
  3. Step 3: Cross multiply
    1,538.36x = 2,122.46 × 875.16
  4. Step 4: Simplify right side
    1,538.36x = 1,857,492.09
  5. Step 5: Solve for x
    x = 1,857,492.09/1,538.36
  6. Step 6: Final answer
    x = 1,207.45

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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.