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Finding the Fourth Proportional to 1,509.54, 2,077.35 and 1,466.71

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Solution

The fourth proportional to 1,509.54, 2,077.35 and 1,466.71 is: 2,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.54 : 2,077.35 = 1,466.71 : x
  2. Step 2: Convert to fraction form
    1,509.54/2,077.35 = 1,466.71/x
  3. Step 3: Cross multiply
    1,509.54x = 2,077.35 × 1,466.71
  4. Step 4: Simplify right side
    1,509.54x = 3,046,859.32
  5. Step 5: Solve for x
    x = 3,046,859.32/1,509.54
  6. Step 6: Final answer
    x = 2,018.41

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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.