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Finding the Fourth Proportional to 2,307.56, 3,184.47 and 1,312.65

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Solution

The fourth proportional to 2,307.56, 3,184.47 and 1,312.65 is: 1,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.56 : 3,184.47 = 1,312.65 : x
  2. Step 2: Convert to fraction form
    2,307.56/3,184.47 = 1,312.65/x
  3. Step 3: Cross multiply
    2,307.56x = 3,184.47 × 1,312.65
  4. Step 4: Simplify right side
    2,307.56x = 4,180,094.55
  5. Step 5: Solve for x
    x = 4,180,094.55/2,307.56
  6. Step 6: Final answer
    x = 1,811.48

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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.