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Finding the Fourth Proportional to 1,921.79, 2,877.93 and 1,575.99

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Solution

The fourth proportional to 1,921.79, 2,877.93 and 1,575.99 is: 2,360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.79 : 2,877.93 = 1,575.99 : x
  2. Step 2: Convert to fraction form
    1,921.79/2,877.93 = 1,575.99/x
  3. Step 3: Cross multiply
    1,921.79x = 2,877.93 × 1,575.99
  4. Step 4: Simplify right side
    1,921.79x = 4,535,588.90
  5. Step 5: Solve for x
    x = 4,535,588.90/1,921.79
  6. Step 6: Final answer
    x = 2,360.08

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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.