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Finding the Fourth Proportional to 3,098.48, 4,646.76 and 1,046

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Solution

The fourth proportional to 3,098.48, 4,646.76 and 1,046 is: 1,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.48 : 4,646.76 = 1,046 : x
  2. Step 2: Convert to fraction form
    3,098.48/4,646.76 = 1,046/x
  3. Step 3: Cross multiply
    3,098.48x = 4,646.76 × 1,046
  4. Step 4: Simplify right side
    3,098.48x = 4,860,510.96
  5. Step 5: Solve for x
    x = 4,860,510.96/3,098.48
  6. Step 6: Final answer
    x = 1,568.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.