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Finding the Fourth Proportional to 2,017.30, 3,025.04 and 976.51

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Solution

The fourth proportional to 2,017.30, 3,025.04 and 976.51 is: 1,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.30 : 3,025.04 = 976.51 : x
  2. Step 2: Convert to fraction form
    2,017.30/3,025.04 = 976.51/x
  3. Step 3: Cross multiply
    2,017.30x = 3,025.04 × 976.51
  4. Step 4: Simplify right side
    2,017.30x = 2,953,981.81
  5. Step 5: Solve for x
    x = 2,953,981.81/2,017.30
  6. Step 6: Final answer
    x = 1,464.32

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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.