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Finding the Fourth Proportional to 1,493.55, 2,070.68 and 1,410.52

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Solution

The fourth proportional to 1,493.55, 2,070.68 and 1,410.52 is: 1,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.55 : 2,070.68 = 1,410.52 : x
  2. Step 2: Convert to fraction form
    1,493.55/2,070.68 = 1,410.52/x
  3. Step 3: Cross multiply
    1,493.55x = 2,070.68 × 1,410.52
  4. Step 4: Simplify right side
    1,493.55x = 2,920,731.42
  5. Step 5: Solve for x
    x = 2,920,731.42/1,493.55
  6. Step 6: Final answer
    x = 1,955.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.