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Finding the Fourth Proportional to 1,386.77, 1,911.11 and 993.11

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Solution

The fourth proportional to 1,386.77, 1,911.11 and 993.11 is: 1,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.77 : 1,911.11 = 993.11 : x
  2. Step 2: Convert to fraction form
    1,386.77/1,911.11 = 993.11/x
  3. Step 3: Cross multiply
    1,386.77x = 1,911.11 × 993.11
  4. Step 4: Simplify right side
    1,386.77x = 1,897,927.93
  5. Step 5: Solve for x
    x = 1,897,927.93/1,386.77
  6. Step 6: Final answer
    x = 1,368.60

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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.