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Finding the Fourth Proportional to 1,509.77, 2,258.59 and 1,306.55

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Solution

The fourth proportional to 1,509.77, 2,258.59 and 1,306.55 is: 1,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.77 : 2,258.59 = 1,306.55 : x
  2. Step 2: Convert to fraction form
    1,509.77/2,258.59 = 1,306.55/x
  3. Step 3: Cross multiply
    1,509.77x = 2,258.59 × 1,306.55
  4. Step 4: Simplify right side
    1,509.77x = 2,950,960.76
  5. Step 5: Solve for x
    x = 2,950,960.76/1,509.77
  6. Step 6: Final answer
    x = 1,954.58

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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.