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Finding the Fourth Proportional to 2,210.74, 3,050.71 and 1,215.99

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Solution

The fourth proportional to 2,210.74, 3,050.71 and 1,215.99 is: 1,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.74 : 3,050.71 = 1,215.99 : x
  2. Step 2: Convert to fraction form
    2,210.74/3,050.71 = 1,215.99/x
  3. Step 3: Cross multiply
    2,210.74x = 3,050.71 × 1,215.99
  4. Step 4: Simplify right side
    2,210.74x = 3,709,629.81
  5. Step 5: Solve for x
    x = 3,709,629.81/2,210.74
  6. Step 6: Final answer
    x = 1,678.01

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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.