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Finding the Fourth Proportional to 4,897.76, 7,345.08 and 1,610.10

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Solution

The fourth proportional to 4,897.76, 7,345.08 and 1,610.10 is: 2,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.76 : 7,345.08 = 1,610.10 : x
  2. Step 2: Convert to fraction form
    4,897.76/7,345.08 = 1,610.10/x
  3. Step 3: Cross multiply
    4,897.76x = 7,345.08 × 1,610.10
  4. Step 4: Simplify right side
    4,897.76x = 11,826,313.31
  5. Step 5: Solve for x
    x = 11,826,313.31/4,897.76
  6. Step 6: Final answer
    x = 2,414.64

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1.5x scale

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.