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Finding the Fourth Proportional to 2,151.48, 2,969.07 and 1,312.08

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Solution

The fourth proportional to 2,151.48, 2,969.07 and 1,312.08 is: 1,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.48 : 2,969.07 = 1,312.08 : x
  2. Step 2: Convert to fraction form
    2,151.48/2,969.07 = 1,312.08/x
  3. Step 3: Cross multiply
    2,151.48x = 2,969.07 × 1,312.08
  4. Step 4: Simplify right side
    2,151.48x = 3,895,657.37
  5. Step 5: Solve for x
    x = 3,895,657.37/2,151.48
  6. Step 6: Final answer
    x = 1,810.69

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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.