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Finding the Fourth Proportional to 1,686.21, 2,516.54 and 1,590.22

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Solution

The fourth proportional to 1,686.21, 2,516.54 and 1,590.22 is: 2,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.21 : 2,516.54 = 1,590.22 : x
  2. Step 2: Convert to fraction form
    1,686.21/2,516.54 = 1,590.22/x
  3. Step 3: Cross multiply
    1,686.21x = 2,516.54 × 1,590.22
  4. Step 4: Simplify right side
    1,686.21x = 4,001,852.24
  5. Step 5: Solve for x
    x = 4,001,852.24/1,686.21
  6. Step 6: Final answer
    x = 2,373.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.