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Finding the Fourth Proportional to 2,973.65, 4,457.23 and 1,240.25

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Solution

The fourth proportional to 2,973.65, 4,457.23 and 1,240.25 is: 1,859.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.65 : 4,457.23 = 1,240.25 : x
  2. Step 2: Convert to fraction form
    2,973.65/4,457.23 = 1,240.25/x
  3. Step 3: Cross multiply
    2,973.65x = 4,457.23 × 1,240.25
  4. Step 4: Simplify right side
    2,973.65x = 5,528,079.51
  5. Step 5: Solve for x
    x = 5,528,079.51/2,973.65
  6. Step 6: Final answer
    x = 1,859.02

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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.