Home / 1,653.70-2,281.62-1,024.69

Finding the Fourth Proportional to 1,653.70, 2,281.62 and 1,024.69

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Solution

The fourth proportional to 1,653.70, 2,281.62 and 1,024.69 is: 1,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.70 : 2,281.62 = 1,024.69 : x
  2. Step 2: Convert to fraction form
    1,653.70/2,281.62 = 1,024.69/x
  3. Step 3: Cross multiply
    1,653.70x = 2,281.62 × 1,024.69
  4. Step 4: Simplify right side
    1,653.70x = 2,337,953.20
  5. Step 5: Solve for x
    x = 2,337,953.20/1,653.70
  6. Step 6: Final answer
    x = 1,413.77

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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.