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Finding the Fourth Proportional to 3,048.90, 4,570.77 and 1,316.22

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Solution

The fourth proportional to 3,048.90, 4,570.77 and 1,316.22 is: 1,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.90 : 4,570.77 = 1,316.22 : x
  2. Step 2: Convert to fraction form
    3,048.90/4,570.77 = 1,316.22/x
  3. Step 3: Cross multiply
    3,048.90x = 4,570.77 × 1,316.22
  4. Step 4: Simplify right side
    3,048.90x = 6,016,138.89
  5. Step 5: Solve for x
    x = 6,016,138.89/3,048.90
  6. Step 6: Final answer
    x = 1,973.22

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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.