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Finding the Fourth Proportional to 1,530.66, 2,113.71 and 1,448.82

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Solution

The fourth proportional to 1,530.66, 2,113.71 and 1,448.82 is: 2,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.66 : 2,113.71 = 1,448.82 : x
  2. Step 2: Convert to fraction form
    1,530.66/2,113.71 = 1,448.82/x
  3. Step 3: Cross multiply
    1,530.66x = 2,113.71 × 1,448.82
  4. Step 4: Simplify right side
    1,530.66x = 3,062,385.32
  5. Step 5: Solve for x
    x = 3,062,385.32/1,530.66
  6. Step 6: Final answer
    x = 2,000.70

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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.