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Finding the Fourth Proportional to 1,655.65, 2,479.57 and 1,438.07

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Solution

The fourth proportional to 1,655.65, 2,479.57 and 1,438.07 is: 2,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.65 : 2,479.57 = 1,438.07 : x
  2. Step 2: Convert to fraction form
    1,655.65/2,479.57 = 1,438.07/x
  3. Step 3: Cross multiply
    1,655.65x = 2,479.57 × 1,438.07
  4. Step 4: Simplify right side
    1,655.65x = 3,565,779.24
  5. Step 5: Solve for x
    x = 3,565,779.24/1,655.65
  6. Step 6: Final answer
    x = 2,153.70

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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.