Home / 1,646.29-2,271.53-947.73

Finding the Fourth Proportional to 1,646.29, 2,271.53 and 947.73

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Solution

The fourth proportional to 1,646.29, 2,271.53 and 947.73 is: 1,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.29 : 2,271.53 = 947.73 : x
  2. Step 2: Convert to fraction form
    1,646.29/2,271.53 = 947.73/x
  3. Step 3: Cross multiply
    1,646.29x = 2,271.53 × 947.73
  4. Step 4: Simplify right side
    1,646.29x = 2,152,792.39
  5. Step 5: Solve for x
    x = 2,152,792.39/1,646.29
  6. Step 6: Final answer
    x = 1,307.66

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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.