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Finding the Fourth Proportional to 1,735.61, 2,588.78 and 1,683.74

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Solution

The fourth proportional to 1,735.61, 2,588.78 and 1,683.74 is: 2,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.61 : 2,588.78 = 1,683.74 : x
  2. Step 2: Convert to fraction form
    1,735.61/2,588.78 = 1,683.74/x
  3. Step 3: Cross multiply
    1,735.61x = 2,588.78 × 1,683.74
  4. Step 4: Simplify right side
    1,735.61x = 4,358,811.07
  5. Step 5: Solve for x
    x = 4,358,811.07/1,735.61
  6. Step 6: Final answer
    x = 2,511.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.