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Finding the Fourth Proportional to 1,666.19, 2,488.48 and 1,509.70

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Solution

The fourth proportional to 1,666.19, 2,488.48 and 1,509.70 is: 2,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.19 : 2,488.48 = 1,509.70 : x
  2. Step 2: Convert to fraction form
    1,666.19/2,488.48 = 1,509.70/x
  3. Step 3: Cross multiply
    1,666.19x = 2,488.48 × 1,509.70
  4. Step 4: Simplify right side
    1,666.19x = 3,756,863.42
  5. Step 5: Solve for x
    x = 3,756,863.42/1,666.19
  6. Step 6: Final answer
    x = 2,254.76

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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.