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Finding the Fourth Proportional to 2,962.79, 4,089.47 and 1,843.07

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Solution

The fourth proportional to 2,962.79, 4,089.47 and 1,843.07 is: 2,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.79 : 4,089.47 = 1,843.07 : x
  2. Step 2: Convert to fraction form
    2,962.79/4,089.47 = 1,843.07/x
  3. Step 3: Cross multiply
    2,962.79x = 4,089.47 × 1,843.07
  4. Step 4: Simplify right side
    2,962.79x = 7,537,160.18
  5. Step 5: Solve for x
    x = 7,537,160.18/2,962.79
  6. Step 6: Final answer
    x = 2,543.94

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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.