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Finding the Fourth Proportional to 1,612.63, 2,225.30 and 913.99

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Solution

The fourth proportional to 1,612.63, 2,225.30 and 913.99 is: 1,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.63 : 2,225.30 = 913.99 : x
  2. Step 2: Convert to fraction form
    1,612.63/2,225.30 = 913.99/x
  3. Step 3: Cross multiply
    1,612.63x = 2,225.30 × 913.99
  4. Step 4: Simplify right side
    1,612.63x = 2,033,901.95
  5. Step 5: Solve for x
    x = 2,033,901.95/1,612.63
  6. Step 6: Final answer
    x = 1,261.23

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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.