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Finding the Fourth Proportional to 2,111.03, 3,166.80 and 877.76

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Solution

The fourth proportional to 2,111.03, 3,166.80 and 877.76 is: 1,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.03 : 3,166.80 = 877.76 : x
  2. Step 2: Convert to fraction form
    2,111.03/3,166.80 = 877.76/x
  3. Step 3: Cross multiply
    2,111.03x = 3,166.80 × 877.76
  4. Step 4: Simplify right side
    2,111.03x = 2,779,690.37
  5. Step 5: Solve for x
    x = 2,779,690.37/2,111.03
  6. Step 6: Final answer
    x = 1,316.75

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