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Finding the Fourth Proportional to 2,223.52, 3,340.00 and 1,402.35

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Solution

The fourth proportional to 2,223.52, 3,340.00 and 1,402.35 is: 2,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.52 : 3,340.00 = 1,402.35 : x
  2. Step 2: Convert to fraction form
    2,223.52/3,340.00 = 1,402.35/x
  3. Step 3: Cross multiply
    2,223.52x = 3,340.00 × 1,402.35
  4. Step 4: Simplify right side
    2,223.52x = 4,683,838.23
  5. Step 5: Solve for x
    x = 4,683,838.23/2,223.52
  6. Step 6: Final answer
    x = 2,106.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.