Home / 1,384.16-2,075.68-1,076.36

Finding the Fourth Proportional to 1,384.16, 2,075.68 and 1,076.36

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Solution

The fourth proportional to 1,384.16, 2,075.68 and 1,076.36 is: 1,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.16 : 2,075.68 = 1,076.36 : x
  2. Step 2: Convert to fraction form
    1,384.16/2,075.68 = 1,076.36/x
  3. Step 3: Cross multiply
    1,384.16x = 2,075.68 × 1,076.36
  4. Step 4: Simplify right side
    1,384.16x = 2,234,178.92
  5. Step 5: Solve for x
    x = 2,234,178.92/1,384.16
  6. Step 6: Final answer
    x = 1,614.10

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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.