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Finding the Fourth Proportional to 2,152.78, 2,969.93 and 1,312.81

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Solution

The fourth proportional to 2,152.78, 2,969.93 and 1,312.81 is: 1,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.78 : 2,969.93 = 1,312.81 : x
  2. Step 2: Convert to fraction form
    2,152.78/2,969.93 = 1,312.81/x
  3. Step 3: Cross multiply
    2,152.78x = 2,969.93 × 1,312.81
  4. Step 4: Simplify right side
    2,152.78x = 3,898,949.66
  5. Step 5: Solve for x
    x = 3,898,949.66/2,152.78
  6. Step 6: Final answer
    x = 1,811.13

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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.