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Finding the Fourth Proportional to 1,347.30, 2,013.11 and 975.34

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Solution

The fourth proportional to 1,347.30, 2,013.11 and 975.34 is: 1,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.30 : 2,013.11 = 975.34 : x
  2. Step 2: Convert to fraction form
    1,347.30/2,013.11 = 975.34/x
  3. Step 3: Cross multiply
    1,347.30x = 2,013.11 × 975.34
  4. Step 4: Simplify right side
    1,347.30x = 1,963,466.71
  5. Step 5: Solve for x
    x = 1,963,466.71/1,347.30
  6. Step 6: Final answer
    x = 1,457.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.