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Finding the Fourth Proportional to 2,317.48, 3,477.60 and 837.16

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Solution

The fourth proportional to 2,317.48, 3,477.60 and 837.16 is: 1,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.48 : 3,477.60 = 837.16 : x
  2. Step 2: Convert to fraction form
    2,317.48/3,477.60 = 837.16/x
  3. Step 3: Cross multiply
    2,317.48x = 3,477.60 × 837.16
  4. Step 4: Simplify right side
    2,317.48x = 2,911,307.62
  5. Step 5: Solve for x
    x = 2,911,307.62/2,317.48
  6. Step 6: Final answer
    x = 1,256.24

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