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Finding the Fourth Proportional to 1,505.52, 2,077.60 and 916.08

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Solution

The fourth proportional to 1,505.52, 2,077.60 and 916.08 is: 1,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.52 : 2,077.60 = 916.08 : x
  2. Step 2: Convert to fraction form
    1,505.52/2,077.60 = 916.08/x
  3. Step 3: Cross multiply
    1,505.52x = 2,077.60 × 916.08
  4. Step 4: Simplify right side
    1,505.52x = 1,903,247.81
  5. Step 5: Solve for x
    x = 1,903,247.81/1,505.52
  6. Step 6: Final answer
    x = 1,264.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.