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Finding the Fourth Proportional to 1,746.16, 2,411.80 and 1,516.16

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Solution

The fourth proportional to 1,746.16, 2,411.80 and 1,516.16 is: 2,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.16 : 2,411.80 = 1,516.16 : x
  2. Step 2: Convert to fraction form
    1,746.16/2,411.80 = 1,516.16/x
  3. Step 3: Cross multiply
    1,746.16x = 2,411.80 × 1,516.16
  4. Step 4: Simplify right side
    1,746.16x = 3,656,674.69
  5. Step 5: Solve for x
    x = 3,656,674.69/1,746.16
  6. Step 6: Final answer
    x = 2,094.12

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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.