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Finding the Fourth Proportional to 2,962.84, 4,088.64 and 1,720.84

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Solution

The fourth proportional to 2,962.84, 4,088.64 and 1,720.84 is: 2,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.84 : 4,088.64 = 1,720.84 : x
  2. Step 2: Convert to fraction form
    2,962.84/4,088.64 = 1,720.84/x
  3. Step 3: Cross multiply
    2,962.84x = 4,088.64 × 1,720.84
  4. Step 4: Simplify right side
    2,962.84x = 7,035,895.26
  5. Step 5: Solve for x
    x = 7,035,895.26/2,962.84
  6. Step 6: Final answer
    x = 2,374.71

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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.