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Finding the Fourth Proportional to 2,546.91, 3,515.00 and 1,875.02

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Solution

The fourth proportional to 2,546.91, 3,515.00 and 1,875.02 is: 2,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.91 : 3,515.00 = 1,875.02 : x
  2. Step 2: Convert to fraction form
    2,546.91/3,515.00 = 1,875.02/x
  3. Step 3: Cross multiply
    2,546.91x = 3,515.00 × 1,875.02
  4. Step 4: Simplify right side
    2,546.91x = 6,590,668.35
  5. Step 5: Solve for x
    x = 6,590,668.35/2,546.91
  6. Step 6: Final answer
    x = 2,587.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.