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Finding the Fourth Proportional to 1,654.51, 2,283.23 and 946.51

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Solution

The fourth proportional to 1,654.51, 2,283.23 and 946.51 is: 1,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.51 : 2,283.23 = 946.51 : x
  2. Step 2: Convert to fraction form
    1,654.51/2,283.23 = 946.51/x
  3. Step 3: Cross multiply
    1,654.51x = 2,283.23 × 946.51
  4. Step 4: Simplify right side
    1,654.51x = 2,161,100.03
  5. Step 5: Solve for x
    x = 2,161,100.03/1,654.51
  6. Step 6: Final answer
    x = 1,306.19

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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.