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Finding the Fourth Proportional to 1,855.65, 2,783.68 and 623.01

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Solution

The fourth proportional to 1,855.65, 2,783.68 and 623.01 is: 934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.65 : 2,783.68 = 623.01 : x
  2. Step 2: Convert to fraction form
    1,855.65/2,783.68 = 623.01/x
  3. Step 3: Cross multiply
    1,855.65x = 2,783.68 × 623.01
  4. Step 4: Simplify right side
    1,855.65x = 1,734,257.36
  5. Step 5: Solve for x
    x = 1,734,257.36/1,855.65
  6. Step 6: Final answer
    x = 934.58

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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.