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Finding the Fourth Proportional to 1,712.96, 2,367.52 and 1,510.72

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Solution

The fourth proportional to 1,712.96, 2,367.52 and 1,510.72 is: 2,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.96 : 2,367.52 = 1,510.72 : x
  2. Step 2: Convert to fraction form
    1,712.96/2,367.52 = 1,510.72/x
  3. Step 3: Cross multiply
    1,712.96x = 2,367.52 × 1,510.72
  4. Step 4: Simplify right side
    1,712.96x = 3,576,659.81
  5. Step 5: Solve for x
    x = 3,576,659.81/1,712.96
  6. Step 6: Final answer
    x = 2,088.00

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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.