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Finding the Fourth Proportional to 1,526.78, 2,106.90 and 828.14

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Solution

The fourth proportional to 1,526.78, 2,106.90 and 828.14 is: 1,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.78 : 2,106.90 = 828.14 : x
  2. Step 2: Convert to fraction form
    1,526.78/2,106.90 = 828.14/x
  3. Step 3: Cross multiply
    1,526.78x = 2,106.90 × 828.14
  4. Step 4: Simplify right side
    1,526.78x = 1,744,808.17
  5. Step 5: Solve for x
    x = 1,744,808.17/1,526.78
  6. Step 6: Final answer
    x = 1,142.80

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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.