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Finding the Fourth Proportional to 2,970.02, 4,098.65 and 1,643.74

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Solution

The fourth proportional to 2,970.02, 4,098.65 and 1,643.74 is: 2,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.02 : 4,098.65 = 1,643.74 : x
  2. Step 2: Convert to fraction form
    2,970.02/4,098.65 = 1,643.74/x
  3. Step 3: Cross multiply
    2,970.02x = 4,098.65 × 1,643.74
  4. Step 4: Simplify right side
    2,970.02x = 6,737,128.79
  5. Step 5: Solve for x
    x = 6,737,128.79/2,970.02
  6. Step 6: Final answer
    x = 2,268.38

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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.