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Finding the Fourth Proportional to 2,570.88, 3,547.44 and 1,523.28

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Solution

The fourth proportional to 2,570.88, 3,547.44 and 1,523.28 is: 2,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.88 : 3,547.44 = 1,523.28 : x
  2. Step 2: Convert to fraction form
    2,570.88/3,547.44 = 1,523.28/x
  3. Step 3: Cross multiply
    2,570.88x = 3,547.44 × 1,523.28
  4. Step 4: Simplify right side
    2,570.88x = 5,403,744.40
  5. Step 5: Solve for x
    x = 5,403,744.40/2,570.88
  6. Step 6: Final answer
    x = 2,101.90

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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.