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Finding the Fourth Proportional to 2,062.93, 2,848.19 and 1,685.74

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Solution

The fourth proportional to 2,062.93, 2,848.19 and 1,685.74 is: 2,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.93 : 2,848.19 = 1,685.74 : x
  2. Step 2: Convert to fraction form
    2,062.93/2,848.19 = 1,685.74/x
  3. Step 3: Cross multiply
    2,062.93x = 2,848.19 × 1,685.74
  4. Step 4: Simplify right side
    2,062.93x = 4,801,307.81
  5. Step 5: Solve for x
    x = 4,801,307.81/2,062.93
  6. Step 6: Final answer
    x = 2,327.42

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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.