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Finding the Fourth Proportional to 1,654.84, 2,283.74 and 991.57

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Solution

The fourth proportional to 1,654.84, 2,283.74 and 991.57 is: 1,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.84 : 2,283.74 = 991.57 : x
  2. Step 2: Convert to fraction form
    1,654.84/2,283.74 = 991.57/x
  3. Step 3: Cross multiply
    1,654.84x = 2,283.74 × 991.57
  4. Step 4: Simplify right side
    1,654.84x = 2,264,484.56
  5. Step 5: Solve for x
    x = 2,264,484.56/1,654.84
  6. Step 6: Final answer
    x = 1,368.40

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1.5x scale

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.