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Finding the Fourth Proportional to 2,538.51, 3,503.04 and 1,476.12

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Solution

The fourth proportional to 2,538.51, 3,503.04 and 1,476.12 is: 2,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.51 : 3,503.04 = 1,476.12 : x
  2. Step 2: Convert to fraction form
    2,538.51/3,503.04 = 1,476.12/x
  3. Step 3: Cross multiply
    2,538.51x = 3,503.04 × 1,476.12
  4. Step 4: Simplify right side
    2,538.51x = 5,170,907.40
  5. Step 5: Solve for x
    x = 5,170,907.40/2,538.51
  6. Step 6: Final answer
    x = 2,036.99

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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.