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Finding the Fourth Proportional to 2,506.48, 3,457.80 and 1,457.98

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Solution

The fourth proportional to 2,506.48, 3,457.80 and 1,457.98 is: 2,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.48 : 3,457.80 = 1,457.98 : x
  2. Step 2: Convert to fraction form
    2,506.48/3,457.80 = 1,457.98/x
  3. Step 3: Cross multiply
    2,506.48x = 3,457.80 × 1,457.98
  4. Step 4: Simplify right side
    2,506.48x = 5,041,403.24
  5. Step 5: Solve for x
    x = 5,041,403.24/2,506.48
  6. Step 6: Final answer
    x = 2,011.35

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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.