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Finding the Fourth Proportional to 2,159.84, 2,977.31 and 1,562.06

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Solution

The fourth proportional to 2,159.84, 2,977.31 and 1,562.06 is: 2,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.84 : 2,977.31 = 1,562.06 : x
  2. Step 2: Convert to fraction form
    2,159.84/2,977.31 = 1,562.06/x
  3. Step 3: Cross multiply
    2,159.84x = 2,977.31 × 1,562.06
  4. Step 4: Simplify right side
    2,159.84x = 4,650,736.86
  5. Step 5: Solve for x
    x = 4,650,736.86/2,159.84
  6. Step 6: Final answer
    x = 2,153.28

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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.