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Finding the Fourth Proportional to 2,476.51, 3,714.87 and 916.22

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Solution

The fourth proportional to 2,476.51, 3,714.87 and 916.22 is: 1,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.51 : 3,714.87 = 916.22 : x
  2. Step 2: Convert to fraction form
    2,476.51/3,714.87 = 916.22/x
  3. Step 3: Cross multiply
    2,476.51x = 3,714.87 × 916.22
  4. Step 4: Simplify right side
    2,476.51x = 3,403,638.19
  5. Step 5: Solve for x
    x = 3,403,638.19/2,476.51
  6. Step 6: Final answer
    x = 1,374.37

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1.5x scale

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.