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Finding the Fourth Proportional to 3,045.84, 4,574.16 and 2,266.08

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Solution

The fourth proportional to 3,045.84, 4,574.16 and 2,266.08 is: 3,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.84 : 4,574.16 = 2,266.08 : x
  2. Step 2: Convert to fraction form
    3,045.84/4,574.16 = 2,266.08/x
  3. Step 3: Cross multiply
    3,045.84x = 4,574.16 × 2,266.08
  4. Step 4: Simplify right side
    3,045.84x = 10,365,412.49
  5. Step 5: Solve for x
    x = 10,365,412.49/3,045.84
  6. Step 6: Final answer
    x = 3,403.14

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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.