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Finding the Fourth Proportional to 2,762.28, 3,812.05 and 1,583.58

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Solution

The fourth proportional to 2,762.28, 3,812.05 and 1,583.58 is: 2,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.28 : 3,812.05 = 1,583.58 : x
  2. Step 2: Convert to fraction form
    2,762.28/3,812.05 = 1,583.58/x
  3. Step 3: Cross multiply
    2,762.28x = 3,812.05 × 1,583.58
  4. Step 4: Simplify right side
    2,762.28x = 6,036,686.14
  5. Step 5: Solve for x
    x = 6,036,686.14/2,762.28
  6. Step 6: Final answer
    x = 2,185.40

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1.5x scale

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.