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Finding the Fourth Proportional to 1,888.16, 2,603.28 and 1,538.08

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Solution

The fourth proportional to 1,888.16, 2,603.28 and 1,538.08 is: 2,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.16 : 2,603.28 = 1,538.08 : x
  2. Step 2: Convert to fraction form
    1,888.16/2,603.28 = 1,538.08/x
  3. Step 3: Cross multiply
    1,888.16x = 2,603.28 × 1,538.08
  4. Step 4: Simplify right side
    1,888.16x = 4,004,052.90
  5. Step 5: Solve for x
    x = 4,004,052.90/1,888.16
  6. Step 6: Final answer
    x = 2,120.61

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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.