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Finding the Fourth Proportional to 1,790.53, 2,471.14 and 1,004.69

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Solution

The fourth proportional to 1,790.53, 2,471.14 and 1,004.69 is: 1,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.53 : 2,471.14 = 1,004.69 : x
  2. Step 2: Convert to fraction form
    1,790.53/2,471.14 = 1,004.69/x
  3. Step 3: Cross multiply
    1,790.53x = 2,471.14 × 1,004.69
  4. Step 4: Simplify right side
    1,790.53x = 2,482,737.08
  5. Step 5: Solve for x
    x = 2,482,737.08/1,790.53
  6. Step 6: Final answer
    x = 1,386.60

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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.