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Finding the Fourth Proportional to 2,830.07, 3,905.60 and 1,710.78

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Solution

The fourth proportional to 2,830.07, 3,905.60 and 1,710.78 is: 2,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.07 : 3,905.60 = 1,710.78 : x
  2. Step 2: Convert to fraction form
    2,830.07/3,905.60 = 1,710.78/x
  3. Step 3: Cross multiply
    2,830.07x = 3,905.60 × 1,710.78
  4. Step 4: Simplify right side
    2,830.07x = 6,681,613.81
  5. Step 5: Solve for x
    x = 6,681,613.81/2,830.07
  6. Step 6: Final answer
    x = 2,360.94

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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.