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Finding the Fourth Proportional to 2,214.59, 3,322.08 and 2,070.54

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Solution

The fourth proportional to 2,214.59, 3,322.08 and 2,070.54 is: 3,106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.59 : 3,322.08 = 2,070.54 : x
  2. Step 2: Convert to fraction form
    2,214.59/3,322.08 = 2,070.54/x
  3. Step 3: Cross multiply
    2,214.59x = 3,322.08 × 2,070.54
  4. Step 4: Simplify right side
    2,214.59x = 6,878,499.52
  5. Step 5: Solve for x
    x = 6,878,499.52/2,214.59
  6. Step 6: Final answer
    x = 3,106.00

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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.