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Finding the Fourth Proportional to 3,097.59, 4,647.60 and 1,365

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Solution

The fourth proportional to 3,097.59, 4,647.60 and 1,365 is: 2,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.59 : 4,647.60 = 1,365 : x
  2. Step 2: Convert to fraction form
    3,097.59/4,647.60 = 1,365/x
  3. Step 3: Cross multiply
    3,097.59x = 4,647.60 × 1,365
  4. Step 4: Simplify right side
    3,097.59x = 6,343,974.00
  5. Step 5: Solve for x
    x = 6,343,974.00/3,097.59
  6. Step 6: Final answer
    x = 2,048.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.