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Finding the Fourth Proportional to 1,705.58, 2,554.92 and 973.04

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Solution

The fourth proportional to 1,705.58, 2,554.92 and 973.04 is: 1,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.58 : 2,554.92 = 973.04 : x
  2. Step 2: Convert to fraction form
    1,705.58/2,554.92 = 973.04/x
  3. Step 3: Cross multiply
    1,705.58x = 2,554.92 × 973.04
  4. Step 4: Simplify right side
    1,705.58x = 2,486,039.36
  5. Step 5: Solve for x
    x = 2,486,039.36/1,705.58
  6. Step 6: Final answer
    x = 1,457.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.