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Finding the Fourth Proportional to 2,151.95, 2,969.75 and 1,312.70

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Solution

The fourth proportional to 2,151.95, 2,969.75 and 1,312.70 is: 1,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.95 : 2,969.75 = 1,312.70 : x
  2. Step 2: Convert to fraction form
    2,151.95/2,969.75 = 1,312.70/x
  3. Step 3: Cross multiply
    2,151.95x = 2,969.75 × 1,312.70
  4. Step 4: Simplify right side
    2,151.95x = 3,898,390.83
  5. Step 5: Solve for x
    x = 3,898,390.83/2,151.95
  6. Step 6: Final answer
    x = 1,811.56

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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.