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Finding the Fourth Proportional to 2,570.98, 3,547.97 and 1,392.07

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Solution

The fourth proportional to 2,570.98, 3,547.97 and 1,392.07 is: 1,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.98 : 3,547.97 = 1,392.07 : x
  2. Step 2: Convert to fraction form
    2,570.98/3,547.97 = 1,392.07/x
  3. Step 3: Cross multiply
    2,570.98x = 3,547.97 × 1,392.07
  4. Step 4: Simplify right side
    2,570.98x = 4,938,997.90
  5. Step 5: Solve for x
    x = 4,938,997.90/2,570.98
  6. Step 6: Final answer
    x = 1,921.06

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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.