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Finding the Fourth Proportional to 2,570.96, 3,547.86 and 1,523

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Solution

The fourth proportional to 2,570.96, 3,547.86 and 1,523 is: 2,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.96 : 3,547.86 = 1,523 : x
  2. Step 2: Convert to fraction form
    2,570.96/3,547.86 = 1,523/x
  3. Step 3: Cross multiply
    2,570.96x = 3,547.86 × 1,523
  4. Step 4: Simplify right side
    2,570.96x = 5,403,390.78
  5. Step 5: Solve for x
    x = 5,403,390.78/2,570.96
  6. Step 6: Final answer
    x = 2,101.70

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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.