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Finding the Fourth Proportional to 1,655.00, 2,283.80 and 908.92

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Solution

The fourth proportional to 1,655.00, 2,283.80 and 908.92 is: 1,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.00 : 2,283.80 = 908.92 : x
  2. Step 2: Convert to fraction form
    1,655.00/2,283.80 = 908.92/x
  3. Step 3: Cross multiply
    1,655.00x = 2,283.80 × 908.92
  4. Step 4: Simplify right side
    1,655.00x = 2,075,789.81
  5. Step 5: Solve for x
    x = 2,075,789.81/1,655.00
  6. Step 6: Final answer
    x = 1,254.25

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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.