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Finding the Fourth Proportional to 2,962.80, 4,088.04 and 1,720.80

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Solution

The fourth proportional to 2,962.80, 4,088.04 and 1,720.80 is: 2,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.80 : 4,088.04 = 1,720.80 : x
  2. Step 2: Convert to fraction form
    2,962.80/4,088.04 = 1,720.80/x
  3. Step 3: Cross multiply
    2,962.80x = 4,088.04 × 1,720.80
  4. Step 4: Simplify right side
    2,962.80x = 7,034,699.23
  5. Step 5: Solve for x
    x = 7,034,699.23/2,962.80
  6. Step 6: Final answer
    x = 2,374.34

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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.