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Finding the Fourth Proportional to 1,700.32, 2,538.05 and 1,575.11

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Solution

The fourth proportional to 1,700.32, 2,538.05 and 1,575.11 is: 2,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.32 : 2,538.05 = 1,575.11 : x
  2. Step 2: Convert to fraction form
    1,700.32/2,538.05 = 1,575.11/x
  3. Step 3: Cross multiply
    1,700.32x = 2,538.05 × 1,575.11
  4. Step 4: Simplify right side
    1,700.32x = 3,997,715.27
  5. Step 5: Solve for x
    x = 3,997,715.27/1,700.32
  6. Step 6: Final answer
    x = 2,351.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.