Home / 1,646.10-2,271.60-947.34

Finding the Fourth Proportional to 1,646.10, 2,271.60 and 947.34

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Solution

The fourth proportional to 1,646.10, 2,271.60 and 947.34 is: 1,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.10 : 2,271.60 = 947.34 : x
  2. Step 2: Convert to fraction form
    1,646.10/2,271.60 = 947.34/x
  3. Step 3: Cross multiply
    1,646.10x = 2,271.60 × 947.34
  4. Step 4: Simplify right side
    1,646.10x = 2,151,977.54
  5. Step 5: Solve for x
    x = 2,151,977.54/1,646.10
  6. Step 6: Final answer
    x = 1,307.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.