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Finding the Fourth Proportional to 2,307.58, 3,184.74 and 1,312.95

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Solution

The fourth proportional to 2,307.58, 3,184.74 and 1,312.95 is: 1,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.58 : 3,184.74 = 1,312.95 : x
  2. Step 2: Convert to fraction form
    2,307.58/3,184.74 = 1,312.95/x
  3. Step 3: Cross multiply
    2,307.58x = 3,184.74 × 1,312.95
  4. Step 4: Simplify right side
    2,307.58x = 4,181,404.38
  5. Step 5: Solve for x
    x = 4,181,404.38/2,307.58
  6. Step 6: Final answer
    x = 1,812.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.