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Finding the Fourth Proportional to 2,698.79, 4,048.57 and 1,312.20

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Solution

The fourth proportional to 2,698.79, 4,048.57 and 1,312.20 is: 1,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.79 : 4,048.57 = 1,312.20 : x
  2. Step 2: Convert to fraction form
    2,698.79/4,048.57 = 1,312.20/x
  3. Step 3: Cross multiply
    2,698.79x = 4,048.57 × 1,312.20
  4. Step 4: Simplify right side
    2,698.79x = 5,312,533.55
  5. Step 5: Solve for x
    x = 5,312,533.55/2,698.79
  6. Step 6: Final answer
    x = 1,968.49

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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.