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Finding the Fourth Proportional to 1,671.04, 2,305.76 and 972.16

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Solution

The fourth proportional to 1,671.04, 2,305.76 and 972.16 is: 1,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.04 : 2,305.76 = 972.16 : x
  2. Step 2: Convert to fraction form
    1,671.04/2,305.76 = 972.16/x
  3. Step 3: Cross multiply
    1,671.04x = 2,305.76 × 972.16
  4. Step 4: Simplify right side
    1,671.04x = 2,241,567.64
  5. Step 5: Solve for x
    x = 2,241,567.64/1,671.04
  6. Step 6: Final answer
    x = 1,341.42

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1.5x scale

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.