Home / 1,526.81-2,106.98-828.18

Finding the Fourth Proportional to 1,526.81, 2,106.98 and 828.18

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Solution

The fourth proportional to 1,526.81, 2,106.98 and 828.18 is: 1,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.81 : 2,106.98 = 828.18 : x
  2. Step 2: Convert to fraction form
    1,526.81/2,106.98 = 828.18/x
  3. Step 3: Cross multiply
    1,526.81x = 2,106.98 × 828.18
  4. Step 4: Simplify right side
    1,526.81x = 1,744,958.70
  5. Step 5: Solve for x
    x = 1,744,958.70/1,526.81
  6. Step 6: Final answer
    x = 1,142.88

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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.