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Finding the Fourth Proportional to 2,925, 4,036.24 and 1,598.64

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Solution

The fourth proportional to 2,925, 4,036.24 and 1,598.64 is: 2,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925 : 4,036.24 = 1,598.64 : x
  2. Step 2: Convert to fraction form
    2,925/4,036.24 = 1,598.64/x
  3. Step 3: Cross multiply
    2,925x = 4,036.24 × 1,598.64
  4. Step 4: Simplify right side
    2,925x = 6,452,494.71
  5. Step 5: Solve for x
    x = 6,452,494.71/2,925
  6. Step 6: Final answer
    x = 2,205.98

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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.