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Finding the Fourth Proportional to 2,210.81, 3,050.85 and 1,216.08

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Solution

The fourth proportional to 2,210.81, 3,050.85 and 1,216.08 is: 1,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.81 : 3,050.85 = 1,216.08 : x
  2. Step 2: Convert to fraction form
    2,210.81/3,050.85 = 1,216.08/x
  3. Step 3: Cross multiply
    2,210.81x = 3,050.85 × 1,216.08
  4. Step 4: Simplify right side
    2,210.81x = 3,710,089.50
  5. Step 5: Solve for x
    x = 3,710,089.50/2,210.81
  6. Step 6: Final answer
    x = 1,678.16

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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.