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Finding the Fourth Proportional to 1,824.58, 2,737.02 and 526.06

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Solution

The fourth proportional to 1,824.58, 2,737.02 and 526.06 is: 789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.58 : 2,737.02 = 526.06 : x
  2. Step 2: Convert to fraction form
    1,824.58/2,737.02 = 526.06/x
  3. Step 3: Cross multiply
    1,824.58x = 2,737.02 × 526.06
  4. Step 4: Simplify right side
    1,824.58x = 1,439,836.74
  5. Step 5: Solve for x
    x = 1,439,836.74/1,824.58
  6. Step 6: Final answer
    x = 789.13

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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.