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Finding the Fourth Proportional to 1,526.87, 2,106.65 and 897.17

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Solution

The fourth proportional to 1,526.87, 2,106.65 and 897.17 is: 1,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.87 : 2,106.65 = 897.17 : x
  2. Step 2: Convert to fraction form
    1,526.87/2,106.65 = 897.17/x
  3. Step 3: Cross multiply
    1,526.87x = 2,106.65 × 897.17
  4. Step 4: Simplify right side
    1,526.87x = 1,890,019.88
  5. Step 5: Solve for x
    x = 1,890,019.88/1,526.87
  6. Step 6: Final answer
    x = 1,237.84

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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.