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Finding the Fourth Proportional to 2,389.77, 3,586.01 and 929.07

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Solution

The fourth proportional to 2,389.77, 3,586.01 and 929.07 is: 1,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.77 : 3,586.01 = 929.07 : x
  2. Step 2: Convert to fraction form
    2,389.77/3,586.01 = 929.07/x
  3. Step 3: Cross multiply
    2,389.77x = 3,586.01 × 929.07
  4. Step 4: Simplify right side
    2,389.77x = 3,331,649.67
  5. Step 5: Solve for x
    x = 3,331,649.67/2,389.77
  6. Step 6: Final answer
    x = 1,394.13

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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.