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Finding the Fourth Proportional to 1,462.53, 2,028.63 and 1,410

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Solution

The fourth proportional to 1,462.53, 2,028.63 and 1,410 is: 1,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.53 : 2,028.63 = 1,410 : x
  2. Step 2: Convert to fraction form
    1,462.53/2,028.63 = 1,410/x
  3. Step 3: Cross multiply
    1,462.53x = 2,028.63 × 1,410
  4. Step 4: Simplify right side
    1,462.53x = 2,860,368.30
  5. Step 5: Solve for x
    x = 2,860,368.30/1,462.53
  6. Step 6: Final answer
    x = 1,955.77

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Why These Related Problems?

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