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Finding the Fourth Proportional to 2,925.78, 4,037.64 and 1,746.63

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Solution

The fourth proportional to 2,925.78, 4,037.64 and 1,746.63 is: 2,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.78 : 4,037.64 = 1,746.63 : x
  2. Step 2: Convert to fraction form
    2,925.78/4,037.64 = 1,746.63/x
  3. Step 3: Cross multiply
    2,925.78x = 4,037.64 × 1,746.63
  4. Step 4: Simplify right side
    2,925.78x = 7,052,263.15
  5. Step 5: Solve for x
    x = 7,052,263.15/2,925.78
  6. Step 6: Final answer
    x = 2,410.39

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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.