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Finding the Fourth Proportional to 1,748.60, 2,617.46 and 1,307.24

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Solution

The fourth proportional to 1,748.60, 2,617.46 and 1,307.24 is: 1,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.60 : 2,617.46 = 1,307.24 : x
  2. Step 2: Convert to fraction form
    1,748.60/2,617.46 = 1,307.24/x
  3. Step 3: Cross multiply
    1,748.60x = 2,617.46 × 1,307.24
  4. Step 4: Simplify right side
    1,748.60x = 3,421,658.22
  5. Step 5: Solve for x
    x = 3,421,658.22/1,748.60
  6. Step 6: Final answer
    x = 1,956.80

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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.