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Finding the Fourth Proportional to 1,526.13, 2,106.05 and 827.50

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Solution

The fourth proportional to 1,526.13, 2,106.05 and 827.50 is: 1,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.13 : 2,106.05 = 827.50 : x
  2. Step 2: Convert to fraction form
    1,526.13/2,106.05 = 827.50/x
  3. Step 3: Cross multiply
    1,526.13x = 2,106.05 × 827.50
  4. Step 4: Simplify right side
    1,526.13x = 1,742,758.44
  5. Step 5: Solve for x
    x = 1,742,758.44/1,526.13
  6. Step 6: Final answer
    x = 1,141.95

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