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Finding the Fourth Proportional to 1,917.77, 2,647.74 and 1,210.56

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Solution

The fourth proportional to 1,917.77, 2,647.74 and 1,210.56 is: 1,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.77 : 2,647.74 = 1,210.56 : x
  2. Step 2: Convert to fraction form
    1,917.77/2,647.74 = 1,210.56/x
  3. Step 3: Cross multiply
    1,917.77x = 2,647.74 × 1,210.56
  4. Step 4: Simplify right side
    1,917.77x = 3,205,248.13
  5. Step 5: Solve for x
    x = 3,205,248.13/1,917.77
  6. Step 6: Final answer
    x = 1,671.35

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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.