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Finding the Fourth Proportional to 4,160, 6,240 and 1,696.16

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Solution

The fourth proportional to 4,160, 6,240 and 1,696.16 is: 2,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160 : 6,240 = 1,696.16 : x
  2. Step 2: Convert to fraction form
    4,160/6,240 = 1,696.16/x
  3. Step 3: Cross multiply
    4,160x = 6,240 × 1,696.16
  4. Step 4: Simplify right side
    4,160x = 10,584,038.40
  5. Step 5: Solve for x
    x = 10,584,038.40/4,160
  6. Step 6: Final answer
    x = 2,544.24

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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.