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Finding the Fourth Proportional to 2,570.54, 3,547.32 and 1,391.59

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Solution

The fourth proportional to 2,570.54, 3,547.32 and 1,391.59 is: 1,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.54 : 3,547.32 = 1,391.59 : x
  2. Step 2: Convert to fraction form
    2,570.54/3,547.32 = 1,391.59/x
  3. Step 3: Cross multiply
    2,570.54x = 3,547.32 × 1,391.59
  4. Step 4: Simplify right side
    2,570.54x = 4,936,415.04
  5. Step 5: Solve for x
    x = 4,936,415.04/2,570.54
  6. Step 6: Final answer
    x = 1,920.38

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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.