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Finding the Fourth Proportional to 1,746.59, 2,408.63 and 1,148.02

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Solution

The fourth proportional to 1,746.59, 2,408.63 and 1,148.02 is: 1,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.59 : 2,408.63 = 1,148.02 : x
  2. Step 2: Convert to fraction form
    1,746.59/2,408.63 = 1,148.02/x
  3. Step 3: Cross multiply
    1,746.59x = 2,408.63 × 1,148.02
  4. Step 4: Simplify right side
    1,746.59x = 2,765,143.65
  5. Step 5: Solve for x
    x = 2,765,143.65/1,746.59
  6. Step 6: Final answer
    x = 1,583.17

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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.