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Finding the Fourth Proportional to 1,570.49, 2,353.56 and 1,404.95

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Solution

The fourth proportional to 1,570.49, 2,353.56 and 1,404.95 is: 2,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.49 : 2,353.56 = 1,404.95 : x
  2. Step 2: Convert to fraction form
    1,570.49/2,353.56 = 1,404.95/x
  3. Step 3: Cross multiply
    1,570.49x = 2,353.56 × 1,404.95
  4. Step 4: Simplify right side
    1,570.49x = 3,306,617.09
  5. Step 5: Solve for x
    x = 3,306,617.09/1,570.49
  6. Step 6: Final answer
    x = 2,105.47

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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.