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Finding the Fourth Proportional to 1,488.10, 2,053.68 and 898.66

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Solution

The fourth proportional to 1,488.10, 2,053.68 and 898.66 is: 1,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.10 : 2,053.68 = 898.66 : x
  2. Step 2: Convert to fraction form
    1,488.10/2,053.68 = 898.66/x
  3. Step 3: Cross multiply
    1,488.10x = 2,053.68 × 898.66
  4. Step 4: Simplify right side
    1,488.10x = 1,845,560.07
  5. Step 5: Solve for x
    x = 1,845,560.07/1,488.10
  6. Step 6: Final answer
    x = 1,240.21

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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.