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Finding the Fourth Proportional to 1,526.76, 2,298.42 and 1,368

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Solution

The fourth proportional to 1,526.76, 2,298.42 and 1,368 is: 2,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.76 : 2,298.42 = 1,368 : x
  2. Step 2: Convert to fraction form
    1,526.76/2,298.42 = 1,368/x
  3. Step 3: Cross multiply
    1,526.76x = 2,298.42 × 1,368
  4. Step 4: Simplify right side
    1,526.76x = 3,144,238.56
  5. Step 5: Solve for x
    x = 3,144,238.56/1,526.76
  6. Step 6: Final answer
    x = 2,059.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.