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Finding the Fourth Proportional to 3,156.76, 4,356.12 and 1,897.06

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Solution

The fourth proportional to 3,156.76, 4,356.12 and 1,897.06 is: 2,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.76 : 4,356.12 = 1,897.06 : x
  2. Step 2: Convert to fraction form
    3,156.76/4,356.12 = 1,897.06/x
  3. Step 3: Cross multiply
    3,156.76x = 4,356.12 × 1,897.06
  4. Step 4: Simplify right side
    3,156.76x = 8,263,821.01
  5. Step 5: Solve for x
    x = 8,263,821.01/3,156.76
  6. Step 6: Final answer
    x = 2,617.82

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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.