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Finding the Fourth Proportional to 1,973.53, 2,703.71 and 1,899.67

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Solution

The fourth proportional to 1,973.53, 2,703.71 and 1,899.67 is: 2,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.53 : 2,703.71 = 1,899.67 : x
  2. Step 2: Convert to fraction form
    1,973.53/2,703.71 = 1,899.67/x
  3. Step 3: Cross multiply
    1,973.53x = 2,703.71 × 1,899.67
  4. Step 4: Simplify right side
    1,973.53x = 5,136,156.78
  5. Step 5: Solve for x
    x = 5,136,156.78/1,973.53
  6. Step 6: Final answer
    x = 2,602.52

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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.