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Finding the Fourth Proportional to 3,460.95, 4,776.47 and 2,045.09

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Solution

The fourth proportional to 3,460.95, 4,776.47 and 2,045.09 is: 2,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.95 : 4,776.47 = 2,045.09 : x
  2. Step 2: Convert to fraction form
    3,460.95/4,776.47 = 2,045.09/x
  3. Step 3: Cross multiply
    3,460.95x = 4,776.47 × 2,045.09
  4. Step 4: Simplify right side
    3,460.95x = 9,768,320.42
  5. Step 5: Solve for x
    x = 9,768,320.42/3,460.95
  6. Step 6: Final answer
    x = 2,822.44

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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.