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Finding the Fourth Proportional to 2,140.02, 3,210.47 and 906.80

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Solution

The fourth proportional to 2,140.02, 3,210.47 and 906.80 is: 1,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.02 : 3,210.47 = 906.80 : x
  2. Step 2: Convert to fraction form
    2,140.02/3,210.47 = 906.80/x
  3. Step 3: Cross multiply
    2,140.02x = 3,210.47 × 906.80
  4. Step 4: Simplify right side
    2,140.02x = 2,911,237.01
  5. Step 5: Solve for x
    x = 2,911,237.01/2,140.02
  6. Step 6: Final answer
    x = 1,360.38

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