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Finding the Fourth Proportional to 2,554.96, 3,525.76 and 1,507

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Solution

The fourth proportional to 2,554.96, 3,525.76 and 1,507 is: 2,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.96 : 3,525.76 = 1,507 : x
  2. Step 2: Convert to fraction form
    2,554.96/3,525.76 = 1,507/x
  3. Step 3: Cross multiply
    2,554.96x = 3,525.76 × 1,507
  4. Step 4: Simplify right side
    2,554.96x = 5,313,320.32
  5. Step 5: Solve for x
    x = 5,313,320.32/2,554.96
  6. Step 6: Final answer
    x = 2,079.61

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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.