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Finding the Fourth Proportional to 1,312.34, 1,802.93 and 1,174.28

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Solution

The fourth proportional to 1,312.34, 1,802.93 and 1,174.28 is: 1,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.34 : 1,802.93 = 1,174.28 : x
  2. Step 2: Convert to fraction form
    1,312.34/1,802.93 = 1,174.28/x
  3. Step 3: Cross multiply
    1,312.34x = 1,802.93 × 1,174.28
  4. Step 4: Simplify right side
    1,312.34x = 2,117,129.75
  5. Step 5: Solve for x
    x = 2,117,129.75/1,312.34
  6. Step 6: Final answer
    x = 1,613.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.