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Finding the Fourth Proportional to 2,557.33, 3,835.54 and 707.98

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Solution

The fourth proportional to 2,557.33, 3,835.54 and 707.98 is: 1,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.33 : 3,835.54 = 707.98 : x
  2. Step 2: Convert to fraction form
    2,557.33/3,835.54 = 707.98/x
  3. Step 3: Cross multiply
    2,557.33x = 3,835.54 × 707.98
  4. Step 4: Simplify right side
    2,557.33x = 2,715,482.07
  5. Step 5: Solve for x
    x = 2,715,482.07/2,557.33
  6. Step 6: Final answer
    x = 1,061.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.