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Finding the Fourth Proportional to 2,886.30, 3,985.65 and 1,826.01

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Solution

The fourth proportional to 2,886.30, 3,985.65 and 1,826.01 is: 2,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.30 : 3,985.65 = 1,826.01 : x
  2. Step 2: Convert to fraction form
    2,886.30/3,985.65 = 1,826.01/x
  3. Step 3: Cross multiply
    2,886.30x = 3,985.65 × 1,826.01
  4. Step 4: Simplify right side
    2,886.30x = 7,277,836.76
  5. Step 5: Solve for x
    x = 7,277,836.76/2,886.30
  6. Step 6: Final answer
    x = 2,521.51

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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.