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Finding the Fourth Proportional to 2,210.33, 3,314.99 and 977.07

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Solution

The fourth proportional to 2,210.33, 3,314.99 and 977.07 is: 1,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.33 : 3,314.99 = 977.07 : x
  2. Step 2: Convert to fraction form
    2,210.33/3,314.99 = 977.07/x
  3. Step 3: Cross multiply
    2,210.33x = 3,314.99 × 977.07
  4. Step 4: Simplify right side
    2,210.33x = 3,238,992.15
  5. Step 5: Solve for x
    x = 3,238,992.15/2,210.33
  6. Step 6: Final answer
    x = 1,465.39

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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.