Home / 2,762.46-3,812.58-1,584

Finding the Fourth Proportional to 2,762.46, 3,812.58 and 1,584

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Solution

The fourth proportional to 2,762.46, 3,812.58 and 1,584 is: 2,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.46 : 3,812.58 = 1,584 : x
  2. Step 2: Convert to fraction form
    2,762.46/3,812.58 = 1,584/x
  3. Step 3: Cross multiply
    2,762.46x = 3,812.58 × 1,584
  4. Step 4: Simplify right side
    2,762.46x = 6,039,126.72
  5. Step 5: Solve for x
    x = 6,039,126.72/2,762.46
  6. Step 6: Final answer
    x = 2,186.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.