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Finding the Fourth Proportional to 1,653.55, 2,467.80 and 1,514.09

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Solution

The fourth proportional to 1,653.55, 2,467.80 and 1,514.09 is: 2,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.55 : 2,467.80 = 1,514.09 : x
  2. Step 2: Convert to fraction form
    1,653.55/2,467.80 = 1,514.09/x
  3. Step 3: Cross multiply
    1,653.55x = 2,467.80 × 1,514.09
  4. Step 4: Simplify right side
    1,653.55x = 3,736,477.47
  5. Step 5: Solve for x
    x = 3,736,477.47/1,653.55
  6. Step 6: Final answer
    x = 2,259.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.