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Finding the Fourth Proportional to 1,570.58, 2,161.01 and 1,440.98

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Solution

The fourth proportional to 1,570.58, 2,161.01 and 1,440.98 is: 1,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.58 : 2,161.01 = 1,440.98 : x
  2. Step 2: Convert to fraction form
    1,570.58/2,161.01 = 1,440.98/x
  3. Step 3: Cross multiply
    1,570.58x = 2,161.01 × 1,440.98
  4. Step 4: Simplify right side
    1,570.58x = 3,113,964.98
  5. Step 5: Solve for x
    x = 3,113,964.98/1,570.58
  6. Step 6: Final answer
    x = 1,982.68

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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.