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Finding the Fourth Proportional to 1,646, 2,271.48 and 947.60

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Solution

The fourth proportional to 1,646, 2,271.48 and 947.60 is: 1,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646 : 2,271.48 = 947.60 : x
  2. Step 2: Convert to fraction form
    1,646/2,271.48 = 947.60/x
  3. Step 3: Cross multiply
    1,646x = 2,271.48 × 947.60
  4. Step 4: Simplify right side
    1,646x = 2,152,454.45
  5. Step 5: Solve for x
    x = 2,152,454.45/1,646
  6. Step 6: Final answer
    x = 1,307.69

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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.