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Finding the Fourth Proportional to 1,612.81, 2,223.33 and 1,146.25

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Solution

The fourth proportional to 1,612.81, 2,223.33 and 1,146.25 is: 1,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.81 : 2,223.33 = 1,146.25 : x
  2. Step 2: Convert to fraction form
    1,612.81/2,223.33 = 1,146.25/x
  3. Step 3: Cross multiply
    1,612.81x = 2,223.33 × 1,146.25
  4. Step 4: Simplify right side
    1,612.81x = 2,548,492.01
  5. Step 5: Solve for x
    x = 2,548,492.01/1,612.81
  6. Step 6: Final answer
    x = 1,580.16

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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.