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Finding the Fourth Proportional to 2,210.86, 3,312.02 and 1,237.64

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Solution

The fourth proportional to 2,210.86, 3,312.02 and 1,237.64 is: 1,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.86 : 3,312.02 = 1,237.64 : x
  2. Step 2: Convert to fraction form
    2,210.86/3,312.02 = 1,237.64/x
  3. Step 3: Cross multiply
    2,210.86x = 3,312.02 × 1,237.64
  4. Step 4: Simplify right side
    2,210.86x = 4,099,099.81
  5. Step 5: Solve for x
    x = 4,099,099.81/2,210.86
  6. Step 6: Final answer
    x = 1,854.08

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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.