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Finding the Fourth Proportional to 2,058.20, 3,088.71 and 1,784.01

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Solution

The fourth proportional to 2,058.20, 3,088.71 and 1,784.01 is: 2,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.20 : 3,088.71 = 1,784.01 : x
  2. Step 2: Convert to fraction form
    2,058.20/3,088.71 = 1,784.01/x
  3. Step 3: Cross multiply
    2,058.20x = 3,088.71 × 1,784.01
  4. Step 4: Simplify right side
    2,058.20x = 5,510,289.53
  5. Step 5: Solve for x
    x = 5,510,289.53/2,058.20
  6. Step 6: Final answer
    x = 2,677.24

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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.