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Finding the Fourth Proportional to 2,317.63, 3,477.80 and 857.79

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Solution

The fourth proportional to 2,317.63, 3,477.80 and 857.79 is: 1,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.63 : 3,477.80 = 857.79 : x
  2. Step 2: Convert to fraction form
    2,317.63/3,477.80 = 857.79/x
  3. Step 3: Cross multiply
    2,317.63x = 3,477.80 × 857.79
  4. Step 4: Simplify right side
    2,317.63x = 2,983,222.06
  5. Step 5: Solve for x
    x = 2,983,222.06/2,317.63
  6. Step 6: Final answer
    x = 1,287.19

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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.