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Finding the Fourth Proportional to 2,133.35, 3,180.03 and 1,897.91

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Solution

The fourth proportional to 2,133.35, 3,180.03 and 1,897.91 is: 2,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.35 : 3,180.03 = 1,897.91 : x
  2. Step 2: Convert to fraction form
    2,133.35/3,180.03 = 1,897.91/x
  3. Step 3: Cross multiply
    2,133.35x = 3,180.03 × 1,897.91
  4. Step 4: Simplify right side
    2,133.35x = 6,035,406.71
  5. Step 5: Solve for x
    x = 6,035,406.71/2,133.35
  6. Step 6: Final answer
    x = 2,829.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.