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Finding the Fourth Proportional to 1,870.74, 2,801.96 and 1,210.49

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Solution

The fourth proportional to 1,870.74, 2,801.96 and 1,210.49 is: 1,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.74 : 2,801.96 = 1,210.49 : x
  2. Step 2: Convert to fraction form
    1,870.74/2,801.96 = 1,210.49/x
  3. Step 3: Cross multiply
    1,870.74x = 2,801.96 × 1,210.49
  4. Step 4: Simplify right side
    1,870.74x = 3,391,738.51
  5. Step 5: Solve for x
    x = 3,391,738.51/1,870.74
  6. Step 6: Final answer
    x = 1,813.05

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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.