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Finding the Fourth Proportional to 1,526.14, 2,106.09 and 897.14

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Solution

The fourth proportional to 1,526.14, 2,106.09 and 897.14 is: 1,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.14 : 2,106.09 = 897.14 : x
  2. Step 2: Convert to fraction form
    1,526.14/2,106.09 = 897.14/x
  3. Step 3: Cross multiply
    1,526.14x = 2,106.09 × 897.14
  4. Step 4: Simplify right side
    1,526.14x = 1,889,457.58
  5. Step 5: Solve for x
    x = 1,889,457.58/1,526.14
  6. Step 6: Final answer
    x = 1,238.06

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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.