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Finding the Fourth Proportional to 3,156.40, 4,356.78 and 1,830.70

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Solution

The fourth proportional to 3,156.40, 4,356.78 and 1,830.70 is: 2,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.40 : 4,356.78 = 1,830.70 : x
  2. Step 2: Convert to fraction form
    3,156.40/4,356.78 = 1,830.70/x
  3. Step 3: Cross multiply
    3,156.40x = 4,356.78 × 1,830.70
  4. Step 4: Simplify right side
    3,156.40x = 7,975,957.15
  5. Step 5: Solve for x
    x = 7,975,957.15/3,156.40
  6. Step 6: Final answer
    x = 2,526.92

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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.