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Finding the Fourth Proportional to 2,985.78, 4,122.24 and 1,924.07

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Solution

The fourth proportional to 2,985.78, 4,122.24 and 1,924.07 is: 2,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.78 : 4,122.24 = 1,924.07 : x
  2. Step 2: Convert to fraction form
    2,985.78/4,122.24 = 1,924.07/x
  3. Step 3: Cross multiply
    2,985.78x = 4,122.24 × 1,924.07
  4. Step 4: Simplify right side
    2,985.78x = 7,931,457.71
  5. Step 5: Solve for x
    x = 7,931,457.71/2,985.78
  6. Step 6: Final answer
    x = 2,656.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.