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Finding the Fourth Proportional to 2,406.12, 3,316.86 and 1,473

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Solution

The fourth proportional to 2,406.12, 3,316.86 and 1,473 is: 2,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.12 : 3,316.86 = 1,473 : x
  2. Step 2: Convert to fraction form
    2,406.12/3,316.86 = 1,473/x
  3. Step 3: Cross multiply
    2,406.12x = 3,316.86 × 1,473
  4. Step 4: Simplify right side
    2,406.12x = 4,885,734.78
  5. Step 5: Solve for x
    x = 4,885,734.78/2,406.12
  6. Step 6: Final answer
    x = 2,030.54

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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.