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Finding the Fourth Proportional to 2,570.59, 3,547.48 and 1,451.69

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Solution

The fourth proportional to 2,570.59, 3,547.48 and 1,451.69 is: 2,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.59 : 3,547.48 = 1,451.69 : x
  2. Step 2: Convert to fraction form
    2,570.59/3,547.48 = 1,451.69/x
  3. Step 3: Cross multiply
    2,570.59x = 3,547.48 × 1,451.69
  4. Step 4: Simplify right side
    2,570.59x = 5,149,852.82
  5. Step 5: Solve for x
    x = 5,149,852.82/2,570.59
  6. Step 6: Final answer
    x = 2,003.38

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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.