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Finding the Fourth Proportional to 1,457.51, 2,186.58 and 417.51

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Solution

The fourth proportional to 1,457.51, 2,186.58 and 417.51 is: 626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.51 : 2,186.58 = 417.51 : x
  2. Step 2: Convert to fraction form
    1,457.51/2,186.58 = 417.51/x
  3. Step 3: Cross multiply
    1,457.51x = 2,186.58 × 417.51
  4. Step 4: Simplify right side
    1,457.51x = 912,919.02
  5. Step 5: Solve for x
    x = 912,919.02/1,457.51
  6. Step 6: Final answer
    x = 626.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.