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Finding the Fourth Proportional to 1,654.93, 2,283.76 and 908.89

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Solution

The fourth proportional to 1,654.93, 2,283.76 and 908.89 is: 1,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.93 : 2,283.76 = 908.89 : x
  2. Step 2: Convert to fraction form
    1,654.93/2,283.76 = 908.89/x
  3. Step 3: Cross multiply
    1,654.93x = 2,283.76 × 908.89
  4. Step 4: Simplify right side
    1,654.93x = 2,075,686.63
  5. Step 5: Solve for x
    x = 2,075,686.63/1,654.93
  6. Step 6: Final answer
    x = 1,254.24

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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.