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Finding the Fourth Proportional to 1,488.63, 2,053.58 and 1,209.18

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Solution

The fourth proportional to 1,488.63, 2,053.58 and 1,209.18 is: 1,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.63 : 2,053.58 = 1,209.18 : x
  2. Step 2: Convert to fraction form
    1,488.63/2,053.58 = 1,209.18/x
  3. Step 3: Cross multiply
    1,488.63x = 2,053.58 × 1,209.18
  4. Step 4: Simplify right side
    1,488.63x = 2,483,141.82
  5. Step 5: Solve for x
    x = 2,483,141.82/1,488.63
  6. Step 6: Final answer
    x = 1,668.07

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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.