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Finding the Fourth Proportional to 2,312.99, 3,192.10 and 1,914.53

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Solution

The fourth proportional to 2,312.99, 3,192.10 and 1,914.53 is: 2,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.99 : 3,192.10 = 1,914.53 : x
  2. Step 2: Convert to fraction form
    2,312.99/3,192.10 = 1,914.53/x
  3. Step 3: Cross multiply
    2,312.99x = 3,192.10 × 1,914.53
  4. Step 4: Simplify right side
    2,312.99x = 6,111,374.41
  5. Step 5: Solve for x
    x = 6,111,374.41/2,312.99
  6. Step 6: Final answer
    x = 2,642.20

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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.