Home / 2,569.94-3,547.85-1,782.62

Finding the Fourth Proportional to 2,569.94, 3,547.85 and 1,782.62

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Solution

The fourth proportional to 2,569.94, 3,547.85 and 1,782.62 is: 2,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.94 : 3,547.85 = 1,782.62 : x
  2. Step 2: Convert to fraction form
    2,569.94/3,547.85 = 1,782.62/x
  3. Step 3: Cross multiply
    2,569.94x = 3,547.85 × 1,782.62
  4. Step 4: Simplify right side
    2,569.94x = 6,324,441.71
  5. Step 5: Solve for x
    x = 6,324,441.71/2,569.94
  6. Step 6: Final answer
    x = 2,460.93

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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.