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Finding the Fourth Proportional to 2,570.37, 3,547.04 and 1,451.30

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Solution

The fourth proportional to 2,570.37, 3,547.04 and 1,451.30 is: 2,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.37 : 3,547.04 = 1,451.30 : x
  2. Step 2: Convert to fraction form
    2,570.37/3,547.04 = 1,451.30/x
  3. Step 3: Cross multiply
    2,570.37x = 3,547.04 × 1,451.30
  4. Step 4: Simplify right side
    2,570.37x = 5,147,794.16
  5. Step 5: Solve for x
    x = 5,147,794.16/2,570.37
  6. Step 6: Final answer
    x = 2,002.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.