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Finding the Fourth Proportional to 1,562.84, 2,156.37 and 933.59

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Solution

The fourth proportional to 1,562.84, 2,156.37 and 933.59 is: 1,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.84 : 2,156.37 = 933.59 : x
  2. Step 2: Convert to fraction form
    1,562.84/2,156.37 = 933.59/x
  3. Step 3: Cross multiply
    1,562.84x = 2,156.37 × 933.59
  4. Step 4: Simplify right side
    1,562.84x = 2,013,165.47
  5. Step 5: Solve for x
    x = 2,013,165.47/1,562.84
  6. Step 6: Final answer
    x = 1,288.15

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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.