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Finding the Fourth Proportional to 3,127.48, 4,690.14 and 1,075

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Solution

The fourth proportional to 3,127.48, 4,690.14 and 1,075 is: 1,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.48 : 4,690.14 = 1,075 : x
  2. Step 2: Convert to fraction form
    3,127.48/4,690.14 = 1,075/x
  3. Step 3: Cross multiply
    3,127.48x = 4,690.14 × 1,075
  4. Step 4: Simplify right side
    3,127.48x = 5,041,900.50
  5. Step 5: Solve for x
    x = 5,041,900.50/3,127.48
  6. Step 6: Final answer
    x = 1,612.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.