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Finding the Fourth Proportional to 1,788.32, 2,457.54 and 1,473

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Solution

The fourth proportional to 1,788.32, 2,457.54 and 1,473 is: 2,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.32 : 2,457.54 = 1,473 : x
  2. Step 2: Convert to fraction form
    1,788.32/2,457.54 = 1,473/x
  3. Step 3: Cross multiply
    1,788.32x = 2,457.54 × 1,473
  4. Step 4: Simplify right side
    1,788.32x = 3,619,956.42
  5. Step 5: Solve for x
    x = 3,619,956.42/1,788.32
  6. Step 6: Final answer
    x = 2,024.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.