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Finding the Fourth Proportional to 1,421.07, 1,961.07 and 897.10

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Solution

The fourth proportional to 1,421.07, 1,961.07 and 897.10 is: 1,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.07 : 1,961.07 = 897.10 : x
  2. Step 2: Convert to fraction form
    1,421.07/1,961.07 = 897.10/x
  3. Step 3: Cross multiply
    1,421.07x = 1,961.07 × 897.10
  4. Step 4: Simplify right side
    1,421.07x = 1,759,275.90
  5. Step 5: Solve for x
    x = 1,759,275.90/1,421.07
  6. Step 6: Final answer
    x = 1,237.99

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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.