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Finding the Fourth Proportional to 1,737.64, 2,607.18 and 1,654.84

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Solution

The fourth proportional to 1,737.64, 2,607.18 and 1,654.84 is: 2,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.64 : 2,607.18 = 1,654.84 : x
  2. Step 2: Convert to fraction form
    1,737.64/2,607.18 = 1,654.84/x
  3. Step 3: Cross multiply
    1,737.64x = 2,607.18 × 1,654.84
  4. Step 4: Simplify right side
    1,737.64x = 4,314,465.75
  5. Step 5: Solve for x
    x = 4,314,465.75/1,737.64
  6. Step 6: Final answer
    x = 2,482.95

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Why These Related Problems?

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