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Finding the Fourth Proportional to 3,301.76, 4,955.07 and 1,570.40

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Solution

The fourth proportional to 3,301.76, 4,955.07 and 1,570.40 is: 2,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.76 : 4,955.07 = 1,570.40 : x
  2. Step 2: Convert to fraction form
    3,301.76/4,955.07 = 1,570.40/x
  3. Step 3: Cross multiply
    3,301.76x = 4,955.07 × 1,570.40
  4. Step 4: Simplify right side
    3,301.76x = 7,781,441.93
  5. Step 5: Solve for x
    x = 7,781,441.93/3,301.76
  6. Step 6: Final answer
    x = 2,356.76

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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.