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Finding the Fourth Proportional to 1,715.60, 2,364.36 and 1,614.80

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Solution

The fourth proportional to 1,715.60, 2,364.36 and 1,614.80 is: 2,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.60 : 2,364.36 = 1,614.80 : x
  2. Step 2: Convert to fraction form
    1,715.60/2,364.36 = 1,614.80/x
  3. Step 3: Cross multiply
    1,715.60x = 2,364.36 × 1,614.80
  4. Step 4: Simplify right side
    1,715.60x = 3,817,968.53
  5. Step 5: Solve for x
    x = 3,817,968.53/1,715.60
  6. Step 6: Final answer
    x = 2,225.44

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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.