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Finding the Fourth Proportional to 1,748.19, 2,411.60 and 1,416.99

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Solution

The fourth proportional to 1,748.19, 2,411.60 and 1,416.99 is: 1,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.19 : 2,411.60 = 1,416.99 : x
  2. Step 2: Convert to fraction form
    1,748.19/2,411.60 = 1,416.99/x
  3. Step 3: Cross multiply
    1,748.19x = 2,411.60 × 1,416.99
  4. Step 4: Simplify right side
    1,748.19x = 3,417,206.00
  5. Step 5: Solve for x
    x = 3,417,206.00/1,748.19
  6. Step 6: Final answer
    x = 1,954.71

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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.