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Finding the Fourth Proportional to 2,214.63, 3,056.15 and 1,220.00

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Solution

The fourth proportional to 2,214.63, 3,056.15 and 1,220.00 is: 1,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.63 : 3,056.15 = 1,220.00 : x
  2. Step 2: Convert to fraction form
    2,214.63/3,056.15 = 1,220.00/x
  3. Step 3: Cross multiply
    2,214.63x = 3,056.15 × 1,220.00
  4. Step 4: Simplify right side
    2,214.63x = 3,728,492.31
  5. Step 5: Solve for x
    x = 3,728,492.31/2,214.63
  6. Step 6: Final answer
    x = 1,683.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.