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Finding the Fourth Proportional to 1,579.09, 2,368.56 and 424.84

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Solution

The fourth proportional to 1,579.09, 2,368.56 and 424.84 is: 637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.09 : 2,368.56 = 424.84 : x
  2. Step 2: Convert to fraction form
    1,579.09/2,368.56 = 424.84/x
  3. Step 3: Cross multiply
    1,579.09x = 2,368.56 × 424.84
  4. Step 4: Simplify right side
    1,579.09x = 1,006,259.03
  5. Step 5: Solve for x
    x = 1,006,259.03/1,579.09
  6. Step 6: Final answer
    x = 637.24

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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.