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Finding the Fourth Proportional to 2,448.74, 3,670.22 and 1,570.10

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Solution

The fourth proportional to 2,448.74, 3,670.22 and 1,570.10 is: 2,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.74 : 3,670.22 = 1,570.10 : x
  2. Step 2: Convert to fraction form
    2,448.74/3,670.22 = 1,570.10/x
  3. Step 3: Cross multiply
    2,448.74x = 3,670.22 × 1,570.10
  4. Step 4: Simplify right side
    2,448.74x = 5,762,612.42
  5. Step 5: Solve for x
    x = 5,762,612.42/2,448.74
  6. Step 6: Final answer
    x = 2,353.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.