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Finding the Fourth Proportional to 2,929, 4,041.76 and 1,602.64

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Solution

The fourth proportional to 2,929, 4,041.76 and 1,602.64 is: 2,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929 : 4,041.76 = 1,602.64 : x
  2. Step 2: Convert to fraction form
    2,929/4,041.76 = 1,602.64/x
  3. Step 3: Cross multiply
    2,929x = 4,041.76 × 1,602.64
  4. Step 4: Simplify right side
    2,929x = 6,477,486.25
  5. Step 5: Solve for x
    x = 6,477,486.25/2,929
  6. Step 6: Final answer
    x = 2,211.50

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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.