Home / 1,583.61-2,184.94-1,024.10

Finding the Fourth Proportional to 1,583.61, 2,184.94 and 1,024.10

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Solution

The fourth proportional to 1,583.61, 2,184.94 and 1,024.10 is: 1,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.61 : 2,184.94 = 1,024.10 : x
  2. Step 2: Convert to fraction form
    1,583.61/2,184.94 = 1,024.10/x
  3. Step 3: Cross multiply
    1,583.61x = 2,184.94 × 1,024.10
  4. Step 4: Simplify right side
    1,583.61x = 2,237,597.05
  5. Step 5: Solve for x
    x = 2,237,597.05/1,583.61
  6. Step 6: Final answer
    x = 1,412.97

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Why These Related Problems?

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