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Finding the Fourth Proportional to 2,506.93, 3,457.46 and 1,878.93

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Solution

The fourth proportional to 2,506.93, 3,457.46 and 1,878.93 is: 2,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.93 : 3,457.46 = 1,878.93 : x
  2. Step 2: Convert to fraction form
    2,506.93/3,457.46 = 1,878.93/x
  3. Step 3: Cross multiply
    2,506.93x = 3,457.46 × 1,878.93
  4. Step 4: Simplify right side
    2,506.93x = 6,496,330.02
  5. Step 5: Solve for x
    x = 6,496,330.02/2,506.93
  6. Step 6: Final answer
    x = 2,591.35

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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.