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Finding the Fourth Proportional to 2,705.07, 3,733.01 and 1,526.14

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Solution

The fourth proportional to 2,705.07, 3,733.01 and 1,526.14 is: 2,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.07 : 3,733.01 = 1,526.14 : x
  2. Step 2: Convert to fraction form
    2,705.07/3,733.01 = 1,526.14/x
  3. Step 3: Cross multiply
    2,705.07x = 3,733.01 × 1,526.14
  4. Step 4: Simplify right side
    2,705.07x = 5,697,095.88
  5. Step 5: Solve for x
    x = 5,697,095.88/2,705.07
  6. Step 6: Final answer
    x = 2,106.08

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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.