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Finding the Fourth Proportional to 3,188.75, 4,785.02 and 1,457.51

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Solution

The fourth proportional to 3,188.75, 4,785.02 and 1,457.51 is: 2,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.75 : 4,785.02 = 1,457.51 : x
  2. Step 2: Convert to fraction form
    3,188.75/4,785.02 = 1,457.51/x
  3. Step 3: Cross multiply
    3,188.75x = 4,785.02 × 1,457.51
  4. Step 4: Simplify right side
    3,188.75x = 6,974,214.50
  5. Step 5: Solve for x
    x = 6,974,214.50/3,188.75
  6. Step 6: Final answer
    x = 2,187.13

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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.