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Finding the Fourth Proportional to 3,156.84, 4,357.40 and 1,830.87

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Solution

The fourth proportional to 3,156.84, 4,357.40 and 1,830.87 is: 2,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.84 : 4,357.40 = 1,830.87 : x
  2. Step 2: Convert to fraction form
    3,156.84/4,357.40 = 1,830.87/x
  3. Step 3: Cross multiply
    3,156.84x = 4,357.40 × 1,830.87
  4. Step 4: Simplify right side
    3,156.84x = 7,977,823.78
  5. Step 5: Solve for x
    x = 7,977,823.78/3,156.84
  6. Step 6: Final answer
    x = 2,527.15

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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.