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Finding the Fourth Proportional to 2,125.84, 3,188.40 and 971.68

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Solution

The fourth proportional to 2,125.84, 3,188.40 and 971.68 is: 1,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.84 : 3,188.40 = 971.68 : x
  2. Step 2: Convert to fraction form
    2,125.84/3,188.40 = 971.68/x
  3. Step 3: Cross multiply
    2,125.84x = 3,188.40 × 971.68
  4. Step 4: Simplify right side
    2,125.84x = 3,098,104.51
  5. Step 5: Solve for x
    x = 3,098,104.51/2,125.84
  6. Step 6: Final answer
    x = 1,457.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.