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Finding the Fourth Proportional to 2,645.10, 3,650.46 and 1,526.08

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Solution

The fourth proportional to 2,645.10, 3,650.46 and 1,526.08 is: 2,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.10 : 3,650.46 = 1,526.08 : x
  2. Step 2: Convert to fraction form
    2,645.10/3,650.46 = 1,526.08/x
  3. Step 3: Cross multiply
    2,645.10x = 3,650.46 × 1,526.08
  4. Step 4: Simplify right side
    2,645.10x = 5,570,894.00
  5. Step 5: Solve for x
    x = 5,570,894.00/2,645.10
  6. Step 6: Final answer
    x = 2,106.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.