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Finding the Fourth Proportional to 1,869.77, 2,574.65 and 1,828.78

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Solution

The fourth proportional to 1,869.77, 2,574.65 and 1,828.78 is: 2,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.77 : 2,574.65 = 1,828.78 : x
  2. Step 2: Convert to fraction form
    1,869.77/2,574.65 = 1,828.78/x
  3. Step 3: Cross multiply
    1,869.77x = 2,574.65 × 1,828.78
  4. Step 4: Simplify right side
    1,869.77x = 4,708,466.56
  5. Step 5: Solve for x
    x = 4,708,466.56/1,869.77
  6. Step 6: Final answer
    x = 2,518.20

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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.