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Finding the Fourth Proportional to 2,210.36, 3,315.74 and 1,114.02

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Solution

The fourth proportional to 2,210.36, 3,315.74 and 1,114.02 is: 1,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.36 : 3,315.74 = 1,114.02 : x
  2. Step 2: Convert to fraction form
    2,210.36/3,315.74 = 1,114.02/x
  3. Step 3: Cross multiply
    2,210.36x = 3,315.74 × 1,114.02
  4. Step 4: Simplify right side
    2,210.36x = 3,693,795.10
  5. Step 5: Solve for x
    x = 3,693,795.10/2,210.36
  6. Step 6: Final answer
    x = 1,671.13

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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.