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Finding the Fourth Proportional to 1,838.60, 2,758.05 and 522.35

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Solution

The fourth proportional to 1,838.60, 2,758.05 and 522.35 is: 783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.60 : 2,758.05 = 522.35 : x
  2. Step 2: Convert to fraction form
    1,838.60/2,758.05 = 522.35/x
  3. Step 3: Cross multiply
    1,838.60x = 2,758.05 × 522.35
  4. Step 4: Simplify right side
    1,838.60x = 1,440,674.31
  5. Step 5: Solve for x
    x = 1,440,674.31/1,838.60
  6. Step 6: Final answer
    x = 783.57

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