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Finding the Fourth Proportional to 2,389.83, 3,585.08 and 745.93

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Solution

The fourth proportional to 2,389.83, 3,585.08 and 745.93 is: 1,119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.83 : 3,585.08 = 745.93 : x
  2. Step 2: Convert to fraction form
    2,389.83/3,585.08 = 745.93/x
  3. Step 3: Cross multiply
    2,389.83x = 3,585.08 × 745.93
  4. Step 4: Simplify right side
    2,389.83x = 2,674,218.72
  5. Step 5: Solve for x
    x = 2,674,218.72/2,389.83
  6. Step 6: Final answer
    x = 1,119.00

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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.