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Finding the Fourth Proportional to 3,130.77, 4,319.58 and 1,804.22

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Solution

The fourth proportional to 3,130.77, 4,319.58 and 1,804.22 is: 2,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.77 : 4,319.58 = 1,804.22 : x
  2. Step 2: Convert to fraction form
    3,130.77/4,319.58 = 1,804.22/x
  3. Step 3: Cross multiply
    3,130.77x = 4,319.58 × 1,804.22
  4. Step 4: Simplify right side
    3,130.77x = 7,793,460.46
  5. Step 5: Solve for x
    x = 7,793,460.46/3,130.77
  6. Step 6: Final answer
    x = 2,489.31

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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.