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Finding the Fourth Proportional to 1,790.63, 2,470.47 and 1,161.65

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Solution

The fourth proportional to 1,790.63, 2,470.47 and 1,161.65 is: 1,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.63 : 2,470.47 = 1,161.65 : x
  2. Step 2: Convert to fraction form
    1,790.63/2,470.47 = 1,161.65/x
  3. Step 3: Cross multiply
    1,790.63x = 2,470.47 × 1,161.65
  4. Step 4: Simplify right side
    1,790.63x = 2,869,809.12
  5. Step 5: Solve for x
    x = 2,869,809.12/1,790.63
  6. Step 6: Final answer
    x = 1,602.69

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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.