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Finding the Fourth Proportional to 1,510.04, 2,083.86 and 846.88

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Solution

The fourth proportional to 1,510.04, 2,083.86 and 846.88 is: 1,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.04 : 2,083.86 = 846.88 : x
  2. Step 2: Convert to fraction form
    1,510.04/2,083.86 = 846.88/x
  3. Step 3: Cross multiply
    1,510.04x = 2,083.86 × 846.88
  4. Step 4: Simplify right side
    1,510.04x = 1,764,779.36
  5. Step 5: Solve for x
    x = 1,764,779.36/1,510.04
  6. Step 6: Final answer
    x = 1,168.70

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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.