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Finding the Fourth Proportional to 2,307.90, 3,184.62 and 1,423.50

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Solution

The fourth proportional to 2,307.90, 3,184.62 and 1,423.50 is: 1,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.90 : 3,184.62 = 1,423.50 : x
  2. Step 2: Convert to fraction form
    2,307.90/3,184.62 = 1,423.50/x
  3. Step 3: Cross multiply
    2,307.90x = 3,184.62 × 1,423.50
  4. Step 4: Simplify right side
    2,307.90x = 4,533,306.57
  5. Step 5: Solve for x
    x = 4,533,306.57/2,307.90
  6. Step 6: Final answer
    x = 1,964.26

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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.