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Finding the Fourth Proportional to 1,937.60, 2,905.53 and 621.11

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Solution

The fourth proportional to 1,937.60, 2,905.53 and 621.11 is: 931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.60 : 2,905.53 = 621.11 : x
  2. Step 2: Convert to fraction form
    1,937.60/2,905.53 = 621.11/x
  3. Step 3: Cross multiply
    1,937.60x = 2,905.53 × 621.11
  4. Step 4: Simplify right side
    1,937.60x = 1,804,653.74
  5. Step 5: Solve for x
    x = 1,804,653.74/1,937.60
  6. Step 6: Final answer
    x = 931.39

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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.