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Finding the Fourth Proportional to 2,210.52, 3,050.53 and 1,215.86

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Solution

The fourth proportional to 2,210.52, 3,050.53 and 1,215.86 is: 1,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.52 : 3,050.53 = 1,215.86 : x
  2. Step 2: Convert to fraction form
    2,210.52/3,050.53 = 1,215.86/x
  3. Step 3: Cross multiply
    2,210.52x = 3,050.53 × 1,215.86
  4. Step 4: Simplify right side
    2,210.52x = 3,709,017.41
  5. Step 5: Solve for x
    x = 3,709,017.41/2,210.52
  6. Step 6: Final answer
    x = 1,677.89

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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.