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Finding the Fourth Proportional to 1,526.62, 2,106.48 and 897.10

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Solution

The fourth proportional to 1,526.62, 2,106.48 and 897.10 is: 1,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.62 : 2,106.48 = 897.10 : x
  2. Step 2: Convert to fraction form
    1,526.62/2,106.48 = 897.10/x
  3. Step 3: Cross multiply
    1,526.62x = 2,106.48 × 897.10
  4. Step 4: Simplify right side
    1,526.62x = 1,889,717.94
  5. Step 5: Solve for x
    x = 1,889,717.94/1,526.62
  6. Step 6: Final answer
    x = 1,237.85

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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.