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Finding the Fourth Proportional to 1,875.79, 2,587.67 and 1,213.21

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Solution

The fourth proportional to 1,875.79, 2,587.67 and 1,213.21 is: 1,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.79 : 2,587.67 = 1,213.21 : x
  2. Step 2: Convert to fraction form
    1,875.79/2,587.67 = 1,213.21/x
  3. Step 3: Cross multiply
    1,875.79x = 2,587.67 × 1,213.21
  4. Step 4: Simplify right side
    1,875.79x = 3,139,387.12
  5. Step 5: Solve for x
    x = 3,139,387.12/1,875.79
  6. Step 6: Final answer
    x = 1,673.63

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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.