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Finding the Fourth Proportional to 1,804.87, 2,482.91 and 1,472.57

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Solution

The fourth proportional to 1,804.87, 2,482.91 and 1,472.57 is: 2,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.87 : 2,482.91 = 1,472.57 : x
  2. Step 2: Convert to fraction form
    1,804.87/2,482.91 = 1,472.57/x
  3. Step 3: Cross multiply
    1,804.87x = 2,482.91 × 1,472.57
  4. Step 4: Simplify right side
    1,804.87x = 3,656,258.78
  5. Step 5: Solve for x
    x = 3,656,258.78/1,804.87
  6. Step 6: Final answer
    x = 2,025.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.