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Finding the Fourth Proportional to 1,646.95, 2,272.68 and 900.89

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Solution

The fourth proportional to 1,646.95, 2,272.68 and 900.89 is: 1,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.95 : 2,272.68 = 900.89 : x
  2. Step 2: Convert to fraction form
    1,646.95/2,272.68 = 900.89/x
  3. Step 3: Cross multiply
    1,646.95x = 2,272.68 × 900.89
  4. Step 4: Simplify right side
    1,646.95x = 2,047,435.86
  5. Step 5: Solve for x
    x = 2,047,435.86/1,646.95
  6. Step 6: Final answer
    x = 1,243.17

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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.