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Finding the Fourth Proportional to 2,151.61, 2,969.21 and 1,312.26

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Solution

The fourth proportional to 2,151.61, 2,969.21 and 1,312.26 is: 1,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.61 : 2,969.21 = 1,312.26 : x
  2. Step 2: Convert to fraction form
    2,151.61/2,969.21 = 1,312.26/x
  3. Step 3: Cross multiply
    2,151.61x = 2,969.21 × 1,312.26
  4. Step 4: Simplify right side
    2,151.61x = 3,896,368.95
  5. Step 5: Solve for x
    x = 3,896,368.95/2,151.61
  6. Step 6: Final answer
    x = 1,810.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.