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Finding the Fourth Proportional to 3,002.42, 4,504.08 and 1,054.28

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Solution

The fourth proportional to 3,002.42, 4,504.08 and 1,054.28 is: 1,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.42 : 4,504.08 = 1,054.28 : x
  2. Step 2: Convert to fraction form
    3,002.42/4,504.08 = 1,054.28/x
  3. Step 3: Cross multiply
    3,002.42x = 4,504.08 × 1,054.28
  4. Step 4: Simplify right side
    3,002.42x = 4,748,561.46
  5. Step 5: Solve for x
    x = 4,748,561.46/3,002.42
  6. Step 6: Final answer
    x = 1,581.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.